HSC Science (General) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Differentiate the following w.r.t.x:

`log[a^(cosx)/((x^2 - 3)^3 logx)]`

Differentiate the following w.r.t.x:

y = (25)^log₅(secx) − (16)^log₄(tanx) 

Differentiate the following w.r.t. x:

`(x^2 + 2)^4/(sqrt(x^2 + 5)`

Differentiate the following w.r.t. x : tan^–1(log x)

Differentiate the following w.r.t. x : cosec^–1 (e^–x)

Differentiate the following w.r.t. x : cot^–1(x³)

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))]`