Question

Derivative
(3x^2+5x+1)^3/2
I know you have to use the chain rule..

Answer 1

how are you starting it?

Answer 2

the derivative of the outside times the inside so it would be 3/2(3x^2+5+1) * (6x+5)

Answer 3

you forgot to reduce the power of the outside by 1

Answer 4

oh wait I have to subtract by 1!

Answer 5

there you go!

Answer 6

so it'd be 3/2(3x^2+5+1)^1/2 * (6x+5)

Answer 7

can you simplify or is that the answer?

Answer 8

don't forget the x on the middle term, I think it should be a 5x

Answer 9

yes! I forgot to type that.. so you can't reduce or anything right? that would be the answer?

Answer 10

you could multiply the 3/2 by (6x+5) but it won't really help much. These can get pretty messy.

Answer 11

ok , thanks:)

Answer 12

sure

Answer 13

what class is this for? I know with AP calculus classes you don't have to simplify unless it tells you to, and if you simplify wrong you lose points, so my calculus teacher said to leave things unsimplified.

Answer 14

It's for calculus 1 in college