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

Differentiate the following w.r.t. x : cot^–1(4^x)

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

Differentiate the following w.r.t. x :

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

Differentiate the following w. r. t. x.

cos^–1(1 – x²)

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

Differentiate the following w.r.t. x :

cos³[cos^–1(x³)]

Differentiate the following w.r.t. x : `sin^4[sin^-1(sqrt(x))]`

Differentiate the following w.r.t. x : `cot^-1[cot(e^(x^2))]`

Differentiate the following w.r.t. x : `"cosec"^-1[1/cos(5^x)]`

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

Differentiate the following w.r.t. x :

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

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

Differentiate the following w.r.t. x : `"cosec"^-1((1)/(4cos^3 2x - 3cos2x))`

Differentiate the following w.r.t. x : `tan^-1[(1 + cos(x/3))/(sin(x/3))]`

Differentiate the following w.r.t. x : `cot^-1((sin3x)/(1 + cos3x))`

Differentiate the following w.r.t. x : `tan^-1((cos7x)/(1 + sin7x))`

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

Differentiate the following w.r.t.x:

tan^–1 (cosec x + cot x)

Differentiate the following w.r.t. x :

`cot^-1[(sqrt(1 + sin  ((4x)/3)) + sqrt(1 - sin  ((4x)/3)))/(sqrt(1 + sin  ((4x)/3)) - sqrt(1 - sin  ((4x)/3)))]`

Differentiate the following w.r.t. x : `sin^-1((4sinx + 5cosx)/sqrt(41))`