- #1
palui123
- 15
- 0
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 .