Question

Find Dy/Dx;If Y=Sin [4X+2]

Answer 1

Answer:

y = sin(4x+2)

using chain rule

$\frac{dy}{dx} = cos(4x+2)*\frac{d}{dx}(4x+2)\\\\\\\frac{dy}{dx} = cos(4x+2)*4\\\\\\\frac{dy}{dx} = 4cos(4x+2)$

Answer 2

y=sin (4x+2)

dy/dx= 4cos (4x+2)

Explanation: By applying chain rule

First take 4x+2 as u

dy/ dx= cos u

Then diffrentiate u

dy/dx= 4

Then put value of u

dy/dx= 4cos (4x+2)