Home
Class 12
MATHS
Find second order derivative of sin(l...

Find second order derivative of `sin(logx)`

Text Solution

Verified by Experts

Let `y=\sin (\log x)`
`\Rightarrow \frac{d y}{d x}=\frac{d}{d x}[\sin (\log x)]=\cos (\log x) \frac{d}{d x}(\log x)=\frac{\cos (\log x)}{x} `
`\therefore \frac{d^{2} y}{d x^{2}}=\frac{d}{d x}\left[\frac{\cos (\log x)}{x}\right] `
...
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|393 Videos
  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

Similar Questions

Explore conceptually related problems

Find second order derivative of x cos x

Find second order derivative of log(sin x)

Find second order derivative of e^(x)sin5x

Find second order derivative of tan^(-1)x

Find second order derivative of log(log x)

Second order derivatives

Find second order derivative of x^(3)log x

Find second order derivative of e^(6x)cos3x

Find second order derivative of x^(3)+tan x

Find the derivative of log(sin(logx)).