Question

can somebody explain how to find the derivative of f(x)=(2x+1)^3(3x-2)^2 and simplify to a single term.

Answer 1

you use the product rule.

Answer 2

1) Use the product AND chain rules

Answer 3

I have 5(x-6)^4 (2x+5)^3 + 6(2x+5)^2 (x-6)^5 but then I am lost when I have to combine into a single term.

Answer 4

Uh, let me try...
f'(x)=4(2x+1)^2(3x-2)^2+(2x+1)6(3x-2)
then write out the power of the polynomials and combine terms>

Answer 5

actually
f'(x)=4(2x+1)^2*(3x-2)^2+(2x+1)^3*6(3x-2)

Answer 6

I have that part but I am just wondering how you would simplify that expression into a single term.

Answer 7

simply multiply them. I trust that since you are in calculus, you know how to multiply polynomials.

Answer 8

ohh, I see now. I am a tard.

Answer 9

4(2x+1)^3 (3x-2) + 9(2x+1)^2 (3x-2)^2