HSC Arts (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Differentiate the following w.r.t. x : `sin^-1(2xsqrt(1 - x^2))`

Differentiate the following w.r.t. x : cos^–1(3x – 4x³)

Differentiate the following w.r.t. x : `cos^-1((e^x -  e^(-x))/(e^x +  e^(-x)))`

Differentiate the following w.r.t. x :

`cos^-1  ((1 - 9^x))/((1 + 9^x)`

Differentiate the following w.r.t. x :

`sin^-1(4^(x + 1/2)/(1 + 2^(4x)))`

Differentiate the following w.r.t. x : `sin^-1  ((1 - 25x^2)/(1 + 25x^2))`

Differentiate the following w.r.t. x :

`sin^(−1) ((1 − x^3)/(1 + x^3))`

Differentiate the following w.r.t. x:

`tan^-1((2x^(5/2))/(1 - x^5))`

Differentiate the following w.r.t. x : `cot^-1((1 - sqrt(x))/(1 + sqrt(x)))`

Differentiate the following w.r.t. x : `tan^-1((8x)/(1 - 15x^2))`

Differentiate the following w.r.t.x:

`cot^-1((1 + 35x^2)/(2x))`

Differentiate the following w.r.t. x : `tan^-1((2sqrt(x))/(1 + 3x))`

Differentiate the following w.r.t. x :

`tan^(−1)[(2^(x + 2))/(1 − 3(4^x))]`

Differentiate the following w.r.t. x : `tan^-1((2^x)/(1 + 2^(2x + 1)))`

Differentiate the following w.r.t. x : `tan^-1((a + btanx)/(b - atanx))`

Differentiate the following w.r.t. x : `cot^-1((a^2 - 6x^2)/(5ax))`

Differentiate the following w.r.t. x :

`tan^-1((5 -x)/(6x^2 - 5x - 3))`

Differentiate the following w.r.t. x : `cot^-1((4 - x - 2x^2)/(3x + 2))`

Differentiate the following w.r.t. x :

`(x +  1)^2/((x + 2)^3(x + 3)^4`

Differentiate the following w.r.t. x : `root(3)((4x - 1)/((2x + 3)(5 - 2x)^2)`