Home
Class 12
MATHS
Differentiate x^(sin x) + (sin x)^(cos x...

Differentiate `x^(sin x) + (sin x)^(cos x)` w.r.t.x.

Text Solution

Verified by Experts

The correct Answer is:
`x^(sin x)[(sin x)/(x) + cos x log x] + (sinx)^(cos x)[cos x cot x - sin x log (sin x)]`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos

  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|20 Videos

Similar Questions

Explore conceptually related problems

Differentiate (x^(tanx) + (sin x)^(cos x)) w.r.t. x

Differentiate tan^(-1)((sin x)/(1 + cos x)) w.r.t.x

Differentiate : x^sin x + (sin x)^x w.r.t x :

Differentiate (sin x)^(sin x) w.r.t. x.

Differentiate e^(sin^-1x), w.r.t. x