# Differentiation using product rule

• Apr 13th 2010, 01:59 AM
juliak
Differentiation using product rule
Use the product rule to differentiate the given function with respect to x:

x^2(x+3)^4

u=x^2
v=(x+3)^4

du/dx=2x
dv/dx=4

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

I do not know how to get to the answer from here but the answer is

6x(x+1)(x+3)^3
• Apr 13th 2010, 02:08 AM
Debsta
Quote:

Originally Posted by juliak
Use the product rule to differentiate the given function with respect to x:

x^2(x+3)^4

u=x^2
v=(x+3)^4

du/dx=2x
dv/dx=4

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

I do not know how to get to the answer from here but the answer is

6x(x+1)(x+3)^3

Your dv/dx should read $\frac{dv}{dx} = 4(x+3)^3$