HSC Science (Computer Science) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Differentiate the following w.r.t.x: log[tan³x.sin⁴x.(x² + 7)⁷]

Differentiate the following w.r.t.x:

`log(sqrt((1 - cos3x)/(1 + cos3x)))`

Differentiate the following w.r.t.x:

`log(sqrt((1 + cos((5x)/2))/(1 - cos((5x)/2))))`

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

Differentiate the following w.r.t.x: `log[4^(2x)((x^2 + 5)/(sqrt(2x^3 - 4)))^(3/2)]`

Differentiate the following w.r.t.x: `log[(ex^2(5 - 4x)^(3/2))/root(3)(7 - 6x)]`

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))]`