Question

Find the derivatives of the following y=(2x+3)⁴ ​

Answer 1

`(dy)/(dx)` = 8(2x + 3)³

Explanation:

Using the function of a function rule

Given

y = f(g(x)) , then

`(dy)/(dx)` = f'(g(x)) × g'(x)

Given

y =
`(2x+3)^(4)` , then

`(dy)/(dx)` = 4(2x + 3)³ ×
`(d)/(dx)` (2x + 3)

= 4(2x + 3)³ × 2

= 8(2x + 3)³