# Math Help - Differentiation using product rule

1. ## 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

2. 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 is incorrect

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