Question

Find $\frac{dy}{dx}$ for $y=e^{\sin \sqrt{\tan x}}$.

Answer 1

Give,

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

Now differentiating both sides with respect to $x$ we get,

$\frac{dy}{dx}=$ $y=e^{\sin \sqrt{\tan x}}$$\cos \sqrt{\tan x}.\frac{1}{2\sqrt{\tan x}}{\sec }^{2}x$.