Home
Class 12
MATHS
Differentiate the following functions w....

Differentiate the following functions w.r.ts
(i) ` e^(x^(2)tan^(-1)x)/(sqrt(1-x^(2))`
(ii) ` x^(sinx) " " (x gt 0)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(e^(x)((2x^(3) + x) tan^(-1) x+1))/((1+x^(2))^(3//2))`
(ii) ` x^(sin x) ((sin x)/x + cos x logx)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Assignment ( section -A)|61 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section -B|35 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t. x: |2x - 1|

Differentiate the following w.r.t. x : e^(x)/x

Differentiate the following w.r.t. x : e^(-x)

Differentiate the following w.r.t. x : e^(x)sinx

Differentiate the following function with respect to x:tan^(-1)((x)/(1+sqrt(1-x^(2)))),-1

Differentiate the following w.r.t. x : (1/2)^(x)

Differentiate the following w.r.t. x : x^(sinx+cosx)

Differentiate the following w.r.t. x : (sinx)^(sinx)

Differentiate the following w.r.t. x : x^(x^(2))

Differentiate the following w.r.t. x : e^(x^(3))