How to Approach Differentiating f(x) = (x^2 - x)sin(x)?

[Joyci116]

Homework Statement

f(x)=(x²-x)(sin(x))

Homework Equations

Chain rule
Product rule

The Attempt at a Solution

f'g(x)*g'(x)
cosx

(2x-x)(cosx)

Would you use the product rule after using the power rule and chain rule?

 

[SammyS]

Review the product rule !

 

[Mark44]

Homework Statement

f(x)=(x²-x)(sin(x))

Homework Equations

Chain rule
Product rule

The Attempt at a Solution

f'g(x)*g'(x)
cosx

?
This looks like you're attempting to use the chain rule.

(2x-x)(cosx)

Would you use the product rule after using the power rule and chain rule?

No. Use the product rule first. You don't need the chain rule at all.

 

[Joyci116]

(x²-x)cosx+sinx(2x-1)

X²cosx-xcosx+2xsinx-sinx

 

[eumyang]

That's more like it!