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

Differentiate the following w.r.t.x:

`sqrt(e^((3x + 2) +  5)`

Differentiate the following w.r.t.x: `log[tan(x/2)]`

Differentiate the following w.r.t.x: `sqrt(tansqrt(x)`

Differentiate the following w.r.t.x: cot³[log(x³)]

Differentiate the following w.r.t.x: `5^(sin^3x + 3)`

Differentiate the following w.r.t.x: `"cosec"(sqrt(cos x))`

Differentiate the following w.r.t.x: log[cos(x³ – 5)]

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

Differentiate the following w.r.t.x: cos²[log(x² + 7)]

Differentiate the following w.r.t.x:

tan[cos(sinx)]

Differentiate the following w.r.t.x: sec[tan (x⁴ + 4)]

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

Differentiate the following w.r.t.x: `sinsqrt(sinsqrt(x)`

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

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)`