Find the derivative of (5x^3+3x-1)(x-1)

Find the derivative of (5x^3+3x-1)(x-1) Problem Question Find the derivative of (5x^3+3x-1)(x-1) Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find the derivatives of 2x^4+x…

Find the derivative of 2x-3/4

Find the derivative of 2x-3/4 Problem Question Find the derivative of 2x-3/4 Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find the derivatives of 2x^4+x…

Find the derivative of sin 2x by from first principle

Find the derivative of sin 2x by from first principle Problem Question Find the derivative of sin 2x by from first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative…

Find the derivative of (x+1)/(x-1) from first principle

Find the derivative of (x+1)/(x-1) from first principle Problem Question Find the derivative of (x+1)/(x-1) from first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at…

Find the derivative of 1/x^2 from first principle

Find the derivative of 1/x^2 from first principle Problem Question Find the derivative of 1/x^2 from first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at…

Find the derivative of (x-1)(x-2) from first principle

Find the derivative of (x-1)(x-2) from first principle Problem Question Find the derivative of (x-1)(x-2) from first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at…

Find the derivative of x^3-27 from first principle

Find the derivative of x^3-27 from first principle Problem Question Find the derivative of x^3-27 from first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at…

Find the derivative of (x-pi/8) from the first principle

Find the derivative of (x-pi/8) from the first principle Problem Question Find the derivative of (x-pi/8) from the first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function…

Electromagnetism

Electromagnetism Important Formulae Topic Electromagnetism Electromagnetism Problems An iron ring has a mean circumference of 50cm and a cross sectional area of 4cm^2 it is wound with 600 turns of wire if the μ_r of iron is 400. Calculate the inductance of the coil and the energy stored in the magnetic field if the current flowing through the coil is 10A A coil of 500 turns wound on a core of non-magnetic material (μ_r=1) has an inductance of 9mH. Calculate…

Calculate the approximate resistance and inductance of an air cored solenoid of mean diameter of 1 cm, 1m long wound with 1000 turns of copper wire, 0.5 mm in diameter. What potential difference exists between the terminals of the solenoid at the instant when the current is 1 A and increasing at the rate of 10,000 A/s. Take the resistivity of copper as 1.72 x 10^-8 ohms/m

Calculate the approximate resistance and inductance of an air cored solenoid of mean diameter of 1 cm, 1m long wound with 1000 turns of copper wire, 0.5 mm in diameter. What potential difference exists between the terminals of the solenoid at the instant when the current is 1 A and increasing at the rate of 10,000 A/s. Take the resistivity of copper as 1.72 x 10^-8 ohms/m Problem Question Calculate the approximate resistance and inductance of an air cored solenoid…

A coil of 1000 turns is wound on a ring of silicon steel having mean diameter of 10cm and relative permeability 1200. Its cross-sectional area is 12 sq cm when a current of 5A flows through the coil. Find (i) Flux in the core (ii) Inductance of the coil (iii) Induced emf if the flux falls to zero in 20m sec

A coil of 1000 turns is wound on a ring of silicon steel having mean diameter of 10cm and relative permeability 1200. Its cross-sectional area is 12 sq cm when a current of 5A flows through the coil. Find (i) Flux in the core (ii) Inductance of the coil (iii) Induced emf if the flux falls to zero in 20m sec Problem Question A coil of 1000 turns is wound on a ring of silicon steel having mean diameter of…

A coil of 150 turns is linked with a flux of 0.01 wb when carrying a current of 10A. Calculate the inductance of the coil if the current is uniformly reversed in 0.01 sec. Calculate the induced EMF

A coil of 150 turns is linked with a flux of 0.01 wb when carrying a current of 10A. Calculate the inductance of the coil if the current is uniformly reversed in 0.01 sec. Calculate the induced EMF Problem Question A coil of 150 turns is linked with a flux of 0.01 wb when carrying a current of 10A. Calculate the inductance of the coil if the current is uniformly reversed in 0.01 sec. Calculate the induced EMF Topic Electromagnetism…

The winding of an electromagnet is wound with 96 turns and has a resistance of 56 ohms, the exciting voltage if 250 V and flux linking the coil is 5 mwb. Find the energy stored in magnetic field, if the current is reversed in 0.1 and what emf is induced in the coil?

The winding of an electromagnet is wound with 96 turns and has a resistance of 56 ohms, the exciting voltage if 250 V and flux linking the coil is 5 mwb. Find the energy stored in magnetic field, if the current is reversed in 0.1 and what emf is induced in the coil? Problem Question The winding of an electromagnet is wound with 96 turns and has a resistance of 56 ohms, the exciting voltage if 250 V and flux…

Find the inductance of a coil of 200 turns wound on a paper core tube of 25 cm length and 5 cm radius. Also calculate energy stored in it if current rises from zero to 5A. (μ_r for paper=1)

Find the inductance of a coil of 200 turns wound on a paper core tube of 25 cm length and 5 cm radius. Also calculate energy stored in it if current rises from zero to 5A. (μ_r for paper=1) Problem Question Find the inductance of a coil of 200 turns wound on a paper core tube of 25 cm length and 5 cm radius. Also calculate energy stored in it if current rises from zero to 5A. (μ_r for paper=1)…

A coil of 500 turns wound on a core of non-magnetic material (μ_r=1) has an inductance of 9mH. Calculate (a) the flux produced by a current of 10A (b) the average value of EMF induced when the current is reversed in 10ms

A coil of 500 turns wound on a core of non-magnetic material (μ_r=1) has an inductance of 9mH. Calculate (a) the flux produced by a current of 10A (b) the average value of EMF induced when the current is reversed in 10ms Problem Question A coil of 500 turns wound on a core of non-magnetic material (μ_r=1) has an inductance of 9mH. Calculate (a) the flux produced by a current of 10A (b) the average value of EMF induced when…

An iron ring has a mean circumference of 50cm and a cross sectional area of 4cm^2 it is wound with 600 turns of wire if the μ_r of iron is 400. Calculate the inductance of the coil and the energy stored in the magnetic field if the current flowing through the coil is 10A

An iron ring has a mean circumference of 50cm and a cross sectional area of 4cm^2 it is wound with 600 turns of wire if the μ_r of iron is 400. Calculate the inductance of the coil and the energy stored in the magnetic field if the current flowing through the coil is 10A Problem Question An iron ring has a mean circumference of 50cm and a cross sectional area of 4cm^2 it is wound with 600 turns of wire…

Java String Interview Programs for Fresher

In this post, we will explore string interview programs in java for fresher. Here, The commonly asked simple java string interview programs are listed. The program question is explained and the multiple possible answers are discussed to get different logical view to approach a problematic solution. Strings are an integral part of programming, serving as the cornerstone for manipulating and processing textual data. As a fresher, mastering string manipulation techniques is not only essential for acing technical interviews but also…

If y=sqrt(x/a) + sqrt(a/x), prove that (2xy) dy/dx=x/a-a/x

If y=sqrt(x/a) + sqrt(a/x), prove that (2xy) dy/dx=x/a-a/x Problem Question If y=sqrt(x/a) + sqrt(a/x), prove that (2xy) dy/dx=x/a-a/x Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at…

Find f’(x) if f(x) =(x-2) ^2 (2x-3)

Find f’(x) if f(x) =(x-2) ^2 (2x-3) Problem Question Find f’(x) if f(x) =(x-2) ^2 (2x-3) Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find…

If y=sqrt(x)+1/sqrt(x), prove that 2x.dy/dx+y=2sqrt(x)

If y=sqrt(x)+1/sqrt(x), prove that 2x.dy/dx+y=2sqrt(x) Problem Question If y=sqrt(x)+1/sqrt(x), prove that 2x.dy/dx+y=2sqrt(x) Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find the derivatives of 2x^4+x…