Home
Class 12
MATHS
Differentiate (cosx)^x with respect to x...

Differentiate `(cosx)^x` with respect to `x` :

Text Solution

Verified by Experts

$$ y=(\cos x)^{x} $$ By Taking log on Both Side

`\log y=x \log \cos x` $$ \frac{1}{y} \frac{d y}{d x}=\log \cos x-x \tan x ...
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 cos(x^(x)) with respect to x:

Differentiate x^(x)^^x with respect to x:

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

Differentiate (x^(x))^(x) with respect to x:

Differentiate sin(x^(x)) with respect to x:

Differentiate sin(log x) with respect to x:

Differentiate e^(sin x) with respect to x:

Differentiate (log)_(x)3 with respect to x:

Differentiate x^(1/x) with respect to x:

Differentiate x^(sqrt(x)) with respect to x: