Question

Find the derivative. 4) y=(4x+3)^5

Answer 1

`y'=20(4x+3)^(4)`

Explanation:

We can find the derivative using the chain rule.

To get the derivative of an expression with an exponent you multiply the expression by the exponent and raise it to the power of the exponent minus one.

Then multiply it by the derivative of the expression inside the parentheses.

The derivative of 4x+3 is 4, so multiply the rest by 4.

Therefore the derivative is:

`y'=5(4x+3)^(4) *4\\y'=20(4x+3)^(4)`