Question

d/dx of (x^3+2x)e^x

Answer 1

I used the chain rule, but chegg says the product rule. Why? I got e^x(x^3+2x)*3x+2

Answer 2

@Zale101

Answer 3

product ruleeee :)

Answer 4

But why? guess I dont understand the concept.

Answer 5

\[\Large\rm \frac{d}{dx} (x^3+2x)e^x=\color{orangered}{(x^3+2x)'}e^x+(x^3+2x)\color{orangered}{(e^x)'}\]

Answer 6

You have two x-thingy's being multiplied together, that's called a product

Answer 7

Would I have used the chain rule if the (x^3+2x) had of been squared or cubed?

Answer 8

Chain rule is when you have a function inside of a function.
Product rule you apply when you have a function `next to` a function.

Answer 9

Yes. Good.

Answer 10

Ok. I think I got it now. Thanks.