Question

What is the derivative of sin(2x+5)?

Answer 1

2cos(2x+5)

Step-by-step explanation:

$\sin(2x + 5)$

Let y = sin(z) . Where z = 2x +5

$y = \sin(z) \\ z = 2x + 5$

Find the the derivatives

$\frac{dy}{dx} = \cos(z)$

$\frac{dz}{dx} = 2$

Multiply

$\frac{dy}{dx} = \cos(z) \times 2 \\ = 2 \cos(z)$

Remember that z = 2x+5

$2 \cos(2x + 5)$