Question

Can you walk me through this step by step?

Answer 1

do u know the product rule

Answer 2

yes

Answer 3

ok so can u apply it here?

Answer 4

no idea

Answer 5

this would be a chain rule problem

Answer 6

what would be the first part? i just need to know how it would look

Answer 7

\[(fg)'=f'g+g'f\] with
\[f(x)=x^3, f'(x)=3x^2,g(x)=\sin(x), g'(x)=\cos(x)\] and leave 3 out front of everything

Answer 8

@satellite my teachers answer key says 3x^2(3sinx+xcosx). Is that right?

Answer 9

lets try it

Answer 10

\[3\left(3x^2\sin(x)+x^3\cos(x)\right)\] now maybe some factoring to get to your teacher's answer

Answer 11

factor out an \(x^2\) from both terms and you have it

Answer 12

how did you get the coefficient 3 in the beginning?

Answer 13

because you started with a 3 out front

Answer 14

im not getting this at all im just going to skip it