Question

Using the Product Rule, find the derivative of the following: f(x)=(x^3-3x+4)(2x-1)

Answer 1

@Callisto can you help

Answer 2

\[f'(x)= (3x-3)(2x-1)+(x ^{3}-3x+4)(2x)=6x ^{2}-9x+3+2x ^{4}-6x ^{2}+8x=2x ^{4}-9x+3\]

Answer 3

you can finish combining the like terms.

Answer 4

can you explain so i know how to do it on my own next time

Answer 5

well we use the product rule and that states that f'(x) = the derivative of the 1st function times the 2nd function plus the derivative of the 2nd function times the 1st function.

Answer 6

do you get it?

Answer 7

yes.... so for the next problem i would do
\[(3x ^{2})(x ^{2}-1)+(x ^{3})(2x)\]

Answer 8

whats the next problem?

Answer 9

that seems right if the problem is f(x)=x^3(x^2-1)

Answer 10

Hope that helps!

Answer 11

yup thank you mucho