Home
Class 11
MATHS
Find the derivatives of the following : ...

Find the derivatives of the following :
`y=x^(cosx)`

Text Solution

Verified by Experts

The correct Answer is:
`x^(cosx)[cosx/x-sinx.logx]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise EXERCISE 10.5|25 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-A (1 MARK)|6 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise EXERCISE 10.3|30 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - IV|11 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of y

Find the derivatives of the following : y = x^(log x) + (log x )^(x)

Find the derivatives of the following : y=x^(logx)+(logx)^(x)

Find the derivatives of the following y = x ^( cos x )

Find the derivatives of the following : x^(y)=y^(x)

Find the derivatives of the following : (cosx)^(logx)

Find the derivatives of the following y = x ^(log x) + ( log x) ^(x)

Find the derivatives of the following x^(y) = y^(x)

Find the derivatives of the following : tan^(-1)((cosx+sinx)/(cosx-sinx))

Find the derivatives of the following : x=a(cost+tsint), y=a(sint-tcost)

Home
Profile