What is the Solution to the Differentiation Problem (3x+2)^5.(x+1)^-2?

[palui123]

Homework Statement

(3x+2)^5.(x+1)^-2

Homework Equations

dy/dx = dy/du . du/dx

The Attempt at a Solution

y=(3x+5)^5 . (x+1)^-2

u = 3x + 5 , du/dx = 3
v = u^5 , dv/du = 5u^4
= 15(3x+5)^4

u = x + 1 , du/dx = 1
v = u^-2 , dv/du = -2u^-3
-2(x+1)^-3


dy/dx = 15(3x+5)^4 . -2(x+1)^-3

Correct or not? or should I use the Product Rule. . .

=5(3x+5)^4 .

 

[palui123]

Question: Differentiate the following Equation

ignore the " =5(3x+5)^4 " wrongly type. . .

 

[SammyS]

It's a product, so you should use the product rule.