HSC Science (General) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Differentiate the following w.r.t.x: `log_(e^2) (log x)`

Differentiate the following w.r.t.x: [log {log(logx)}]²

Differentiate the following w.r.t.x:

sin²x² – cos²x² 

Differentiate the following w.r.t.x:

(x² + 4x + 1)³ + (x³− 5x − 2)⁴ 

Differentiate the following w.r.t.x: (1 + 4x)⁵ (3 + x −x2)⁸ 

Differentiate the following w.r.t.x: `x/(sqrt(7 - 3x)`

Differentiate the following w.r.t.x:

`(x^3 - 5)^5/(x^3 + 3)^3`

Differentiate the following w.r.t.x: (1 + sin² x)² (1 + cos² x)³ 

Differentiate the following w.r.t.x:

`sqrt(cosx) + sqrt(cossqrt(x)`

Differentiate the following w.r.t.x:

log (sec 3x+ tan 3x)

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

Differentiate the following w.r.t.x: `cot(logx/2) - log(cotx/2)`

Differentiate the following w.r.t.x:

`(e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))`

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

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)]`