Home
Class 12
MATHS
Differentiate the following w.r.t. x : ...

Differentiate the following w.r.t. x :
`sin (tan^(-1) e^(-x))`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.5|18 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.6|11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.3|15 Videos

  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t. x : e^(sin^(-1)x)

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

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

Differentiate the following w.r.t. x : cos^(-1) (e^x) .

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

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

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

Differentiate the following w.r.t. x : sin (log x), x gt 0

Differentiate the following functions w.r.t. x : (x^(2)+1)e^(x)

Differentiate the following functions w.r.t. x : x^(16)