Question

Hey❤️❤️❤️❤️
Please solve this Question ASAP. Best answer will be marked as Brainliest ​

Answer 1

i hope this will help you.

Answer 2

Answer:

Given :

y = log tan x

Apply chain rule and solve :

$\dfrac{dy}{dx}=\dfrac{d}{dx}log(tan(x))\\\\\implies \dfrac{1}{tanx}\times \dfrac{d}{dx}tanx\\\\\implies \dfrac{1}{tanx}\times sec^2x\\\\\implies \dfrac{sec^2x}{tanx}$

$\implies sec^2x\times \dfrac{cosx}{sinx}\\\\\implies \boxed{secx\times cosecx}$

Explanation:

Chain rule helps in solving composite function's derivatives . Its very helpful in these cases .

$\dfrac{d}{dx}tanx=sec^2x$