HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Differentiate the following w.r.t. x : `cos^-1((sqrt(3)cosx - sinx)/(2))`

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

Differentiate the following w.r.t. x : `cos^-1((3cos3x - 4sin3x)/5)`

Differentiate the following w.r.t. x :

`cos^-1[(3cos(e^x) + 2sin(e^x))/sqrt(13)]`

Differentiate the following w.r.t. x : `"cosec"^-1[(10)/(6sin(2^x) - 8cos(2^x))]`

Differentiate the following w.r.t. x :

`cos^-1((1 - x^2)/(1 + x^2))`

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

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

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))`