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If y=cos(mlog x), prove that x^2 y_(n+2)+(2n+1)xy_(n+1)+(m^2+n^2 ) y_n=0. Question Question If y=cos(mlog x), prove that x^2 y_(n+2)+(2n+1)xy_(n+1)+(m^2+n^2 ) y_n=0. Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0…

If sin^(-1)y=2 log(x+1), prove that (x+1)^2 y_(n+2)+(2n+1)(x+1) y_(n+1)+(n^2+4) y_n=0. Question Question If sin^(-1)y=2 log(x+1), prove that (x+1)^2 y_(n+2)+(2n+1)(x+1) y_(n+1)+(n^2+4) y_n=0. Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0…

If y=(x+sqrt(x^2-1))^m, prove that (x^2-1) y_(n+2)+(2n+1)xy_(n+1)+(n^2-m^2 ) y_n=0. Question Question If y=(x+sqrt(x^2-1))^m, prove that (x^2-1) y_(n+2)+(2n+1)xy_(n+1)+(n^2-m^2 ) y_n=0. Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0 (ii) (1+x^2)…

If y=sin(log(x^2+2x+1)), prove that (x+1)^2 y_(n+2)+(2n+1)(x+1) y_(n+1)+(n^2+4 )y_n=0. Question Question If y=sin(log(x^2+2x+1)), prove that (x+1)^2 y_(n+2)+(2n+1)(x+1) y_(n+1)+(n^2+4 )y_n=0. Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0 (ii) (1+x^2)…

If x = tan(log y), find the value of (1+x^2) y_ (n+1) + (2nx-1)y_n + n (n-1) y_ (n-1). Question Question If x = tan(log y), find the value of (1+x^2) y_ (n+1) + (2nx-1)y_n + n (n-1) y_ (n-1). Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y…

If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0 (ii) (1+x^2) y_ (n+2) +2(n+1) xy_ (n+1) +n (n+1) y_n=0 Question Question If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0 (ii) (1+x^2) y_ (n+2) +2(n+1) xy_ (n+1) +n (n+1) y_n=0 Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y…

Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative. Question Question Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative. Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1…

Find the n th derivative of x^2 log 4x. Question Question Find the n th derivative of x^2 log 4x. Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0…

Find the n th derivative of x^2 sin^2 x. Question Question Find the n th derivative of x^2 sin^2 x. Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0…

Find the n th derivative of x^2 e^x. Question Question Find the n th derivative of x^2 e^x. Topic Leibnitz’s theorem Problems Find the n th derivative of x^2 e^x Find the n th derivative of x^2 sin^2 x Find the n th derivative of x^2 log 4x Prove that (1-x^2) y_2 – xy_1 = 2 if y = (sin inverse (x))^2, apply Leibnitz’s theorem to find n^th derivative If tan y=x, then prove that (i) (1+x^2) y_2+2xy_1=0 (ii) (1+x^2)…

Find the pedal equation of 2a/r=1-cos(theta). Question Question Find the pedal equation of 2a/r=1-cos(theta). Topic Pedal equation of a polar curve Problems Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)). Find the pedal equation of 2a/r=1+cos(theta) Obtain the pedal equation of the curve r^n=a^n cos(n theta) Find the pedal equation of r^n=a (1+cos(n theta)) Find pedal equation of the curve r=a e^ ((theta)cot(alpha)) Find the pedal equation of 2a/r=1-cos(theta)  

Find pedal equation of the curve r=a e^ ((theta)cot(alpha)). Question Question Find pedal equation of the curve r=a e^ ((theta)cot(alpha)). Topic Pedal equation of a polar curve Problems Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)). Find the pedal equation of 2a/r=1+cos(theta) Obtain the pedal equation of the curve r^n=a^n cos(n theta) Find the pedal equation of r^n=a (1+cos(n theta)) Find pedal equation of the curve r=a e^ ((theta)cot(alpha)) Find the pedal equation of 2a/r=1-cos(theta)  

Find the pedal equation of r^n=a (1+cos(n theta)). Question Question Find the pedal equation of r^n=a (1+cos(n theta)). Topic Pedal equation of a polar curve Problems Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)). Find the pedal equation of 2a/r=1+cos(theta) Obtain the pedal equation of the curve r^n=a^n cos(n theta) Find the pedal equation of r^n=a (1+cos(n theta)) Find pedal equation of the curve r=a e^ ((theta)cot(alpha)) Find the pedal equation of 2a/r=1-cos(theta)  

Obtain the pedal equation of the curve r^n=a^n cos(n theta). Question Question Obtain the pedal equation of the curve r^n=a^n cos(n theta). Topic Pedal equation of a polar curve Problems Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)). Find the pedal equation of 2a/r=1+cos(theta) Obtain the pedal equation of the curve r^n=a^n cos(n theta) Find the pedal equation of r^n=a (1+cos(n theta)) Find pedal equation of the curve r=a e^ ((theta)cot(alpha)) Find the pedal equation of 2a/r=1-cos(theta)  

Find the pedal equation of 2a/r=1+cos(theta). Question Question Find the pedal equation of 2a/r=1+cos(theta). Topic Pedal equation of a polar curve Problems Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)). Find the pedal equation of 2a/r=1+cos(theta) Obtain the pedal equation of the curve r^n=a^n cos(n theta) Find the pedal equation of r^n=a (1+cos(n theta)) Find pedal equation of the curve r=a e^ ((theta)cot(alpha)) Find the pedal equation of 2a/r=1-cos(theta)  

Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)). Question Question Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)). Topic Pedal equation of a polar curve Problems Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)). Find the pedal equation of 2a/r=1+cos(theta) Obtain the pedal equation of the curve r^n=a^n cos(n theta) Find the pedal equation of r^n=a (1+cos(n theta)) Find pedal equation of the curve r=a e^ ((theta)cot(alpha)) Find the pedal equation of 2a/r=1-cos(theta)  

Find the angle between the two curves r=a sec^2(theta/2) and r=acosec^2(theta/2). Question Question Find the angle between the two curves r=a sec^2(theta/2) and r=acosec^2(theta/2). Topic Angle between two polar curves Problems Find the angle between the pair of curves r=6cos(theta) & r=2(1+cos(theta)) Find angle between the curves r=a/ (1+cos(theta)) and r=b/ (1-cos(theta)) Find the angle of intersection of the curves r=a(1+sin(theta)) and r=a(1-sin(theta)) Find the angle between the curves r^2 sin(2theta)=4 and r^2=16 sin(2theta) Find the angle between the polar…

Find the angle between the two curves r=sin(theta)+cos(theta) and r=2sin(theta). Question Question Find the angle between the two curves r=sin(theta)+cos(theta) and r=2sin(theta). Topic Angle between two polar curves Problems Find the angle between the pair of curves r=6cos(theta) & r=2(1+cos(theta)) Find angle between the curves r=a/ (1+cos(theta)) and r=b/ (1-cos(theta)) Find the angle of intersection of the curves r=a(1+sin(theta)) and r=a(1-sin(theta)) Find the angle between the curves r^2 sin(2theta)=4 and r^2=16 sin(2theta) Find the angle between the polar curves r=a(1-cos(theta))…