Find the derivative of the following functions y=ln⁡(ln⁡x)

Question

Find the derivative of the following functions  y=ln⁡(ln⁡x)

Raheem Donnelly · Accepted Answer

Step 1  Given:  y=ln⁡(ln⁡x)  Step 2  Solution:  Derivative both sides with respect to x  ddx(y)=ddx[ln⁡(ln⁡x)]  dydx=1ln⁡xddx(ln⁡x)   ⇒[ddx(ln⁡(x))=1x(ddxx)]  dydx=1ln⁡x(1x)  dydx=1xln⁡x  Step 3  Answer:  dydx=1xln⁡x

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Find the derivative of the following functions y=ln⁡(ln⁡x)

Answered question

Answer & Explanation