Derivative of a Polynomial Function?

[10min]

Homework Statement

Find derivative of function?
if f(x) = (x^2 + 3x -2 ) (x^3-4)
Find f`(x)

Homework Equations

FOIL or Multiply both

The Attempt at a Solution

I get
5x^4 + 12x^3 - 6x^2 -8x-12

is this right?

 

[Dick]

Yes, it's correct. Why do you think it might not be??

 

[10min]

just checking

 

[ducnguyen2000]

I'd use the product rule.

 

[chelle13]

Homework Statement

Find derivative of function?
if f(x) = (x^2 + 3x -2 ) (x^3-4)
Find f`(x)

Homework Equations

FOIL or Multiply both

The Attempt at a Solution

I get
5x^4 + 12x^3 - 6x^2 -8x-12

is this right?

yes i believe it is.

 

[HallsofIvy]

You could check by using the product rule as ducnguyen2000 suggested:
the derivative of f(x) = (x^2 + 3x -2 ) (x^3-4) is (x^2+ 3x- 2)'(x^3- 4)+ (x^2+ 3x- 2)(x^3- 4)'.