Home
Class 12
MATHS
Differentiate (sinx)^(logx) with respect...

Differentiate `(sinx)^(logx)` with respect to `x` :

Text Solution

Verified by Experts

$$ y=(\sin x)^{\log x} $$ Applying log on both sides:- $$ \Rightarrow \log y=\log x \log (\sin x) $$ Now differentiating with respect to `x`, we get ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

Differentiate (sinx)/(x) with respect to x.

Differentiate (sinx)^(logx) w.r.t. x.

Differentiate x^(x)+(sinx)^(sinx) with respect to 'x'.

Differentiate sinx^(2) with respect to x

Differentiate x^(sinx) with respect to 'x'.

Differentiate (sinx)/((1+cotx))

Differentiate y = (sinx)/(cosx)

Differentiate e^(sinx) wit respect to cos x.

Differentiate e^(sinx) with respect to x from first- principles

Differentiate sinx sin 2x