Determine the derivative of the following. Simplify fully.

Homework Statement

y = (3x+2)(x+5)^4

Homework Equations

Here, i tried using the chain rule on (x+5)^4 first, and then i tried using the product rule
for the entire expression with no success. Can someone help me please?

The Attempt at a Solution

dy/dx (3x+2)(x+5)^4 + dy/dx(x+5)^4(3x+2)
= (3)(x+5)^4 + 4(x+5)^3(3x+2)
=3(x+5)^4 + 4(x+5)^3(3x+2) this is as far as i could go.

SammyS
Staff Emeritus
Homework Helper
Gold Member
Factor out (x+5)3 and simplify the remaining expression.

= (x+5)^3(3(x+5) + 4(3x+2))
= (x+5)^3(3x+15 +12X + 8)
dy/dx = (x+5)^3(15x+23) final answer thank u for helping!

Last edited:
SammyS
Staff Emeritus