## Derivatives

### List of derivatives established for standard functions

## Topic

## 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 f(x) =sinx+cosx /sinx-cosx
- Find the derivatives of 5 secx+4cosx
- If y=sqrt(x)+1/sqrt(x), prove that 2x.dy/dx+y=2sqrt(x)
- Find f’(x) if f(x) =(x-2) ^2 (2x-3)
- If y=sqrt(x/a) + sqrt(a/x), prove that (2xy) dy/dx=x/a-a/x
- Find the derivative of (x-pi/8) from the first principle
- Find the derivative of x^3-27 from first principle
- Find the derivative of (x-1)(x-2) from first principle
- Find the derivative of 1/x^2 from first principle
- Find the derivative of (x+1)/(x-1) from first principle
- Find the derivative of sin 2x by from first principle
- Find the derivative of 2x-3/4
- Find the derivative of (5x^3+3x-1)(x-1)
- Find the derivative of x^(-3) (5+3x)
- Find the derivative of x^5 (3-6x^(-9))
- Find the derivative of x^(-4) (3-4x^(-5) )
- Find the derivative of (2/(x+1))-(x^2/(3x-1))
- Find the derivatives of cos x from the first principle
- Find the derivatives of sinx cosx
- Find the derivative of secx
- Find the derivative of 5secx + 4cosx
- Find the derivative of cosecx
- Find the derivative of 3cotx + 5cosecx
- Find the derivative of 5sinx – 6cosx + 7
- Find the derivative of 2tanx – 7secx
- Find the derivative of (-x) from first principle
- Find the derivative of (-x)^-1 from first principle
- Find the derivative of sin(x+1) from first principle