Question

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

Answer 1

2cos(2x+5)

Explanation:

`\sin(2x + 5)`

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

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

Find the the derivatives

`(dy)/(dx) = \cos(z)`

`(dz)/(dx) = 2`

Multiply

`(dy)/(dx) = \cos(z) * 2 \\ = 2 \cos(z)`

Remember that z = 2x+5

`2 \cos(2x + 5)`