Question

answer this question I will mark u as brain list​

Answer 1

Hi there !
Here's the answer:

•°•°•°•°•°<><><<><>><><>°•°•°•°•°•

¶ POINT TO REMEMBER:

• $\dfrac{d}{dx}\, sin\, x = cos\, x$

•°•°•°•°•°<><><<><>><><>°•°•°•°•°•


Given, $y = \sqrt{sin\, x + \sqrt{sin\, x+ \cdots\cdots \infty}}$

$\implies y = \sqrt{sin\, x+y}$

$\implies y^{2} = sin\, x + y$

Differentiate w.r.t x on both sides


$\implies 2y \cdot \dfrac{dy}{dx} = cos\, x + \dfrac{dy}{dx}$

$\implies (2y-1)\dfrac{dy}{dx} = cos\, x$


$\implies \dfrac{dy}{dx} = \dfrac{cos\, x}{2y-1}$

This answer is in option - 2.

•°•°•°•°•°<><><<><>><><>°•°•°•°•°•
…