## anonymous one year ago how to find the derivative of (4x+1)(1-x)^3

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1. freckles

Product rule would need to be applied.

2. freckles

Then Chain rule and some other rules.

3. freckles

but yeah the first one to begin with is product

4. freckles

$\frac{d}{dx}(4x+1)(1-x)^3 \\ = (1-x)^3 \frac{d}{dx}(4x+1)+ (4x+1) \frac{d}{dx}(1-x)^3$ see if you can continue

5. anonymous

$(4 x+1) (1-x)^3=-4 x^4+11 x^3-9 x^2+x+1$Calculate the derivative term by term.$-16 x^3+33 x^2-18 x+1$

6. LynFran