Question

y= e^√x , find dy/dx​

Answer 1

Answer:

dy/dx = y/2√x

Explanation:

Given,

$y= {e}^{ \sqrt{x} }$

applying ln on both sides

we get, ln(y) = (√x) ln(e)

ln(y) = √x

differentiating on both sides

we get, 1/y(dy/dx) = 1/2√x

therefore dy/dx = y/2√x