## ERoseM Find y prime if y=(x^2+3x-5)(cube root(x)-1) one year ago one year ago

1. nickhouraney

i would probably start by rewriting it (x^2+3x-5)(x-1)^(1/3)

2. ERoseM

Okay should i do the chain rule?

3. nickhouraney

i did product rule

4. nickhouraney

u got it?

5. ERoseM

I got |dw:1350267174267:dw|

6. nickhouraney

dont think thats correct

7. nickhouraney

was the original problem (cuberoot(x)) - 1)

8. nickhouraney

only the x is under the cube root?

9. ERoseM

Only the x under the cube root that where I get stuck

10. nickhouraney

oh i did it $\sqrt[3]{x-1}$ so you might be right

11. ERoseM

I just couldnt decide whether or not to do the chain rule and what to do with the (-1) if I do

12. nickhouraney

well this is a product rule (x^2+3x-5) d/dx(cube root(x)-1) + (cube root(x)-1) d/dx(x^2+3x-5)

13. nickhouraney

= (x^2+3x-5) 1/3 x^-2/3 + (x^1/3 - 1) (2x+3)

14. nickhouraney

just algebra and reducing after this point

15. ERoseM

Okay thank you!