Posted by **Amy** on Wednesday, March 14, 2007 at 9:07pm.

In addition, can you walk me through how to get the derivatives for these 2 statements, too?

a) y = x^5/3 - 5x^2/3

b) y = (the cubed root of the quantity) [(x^2 - 1)^2]

Hi there. I need to find the first derivative of this statement.

y=x(x+2)^3

I tried the chain rule, but I think I messed up because I got y'=3(x+2)^5.

The reason I know it's wrong is because I'm trying to sketch the curve and my points are not where they should be.

Help?

Use primarily the product rule

y = x(x+2)^3

y' = (1)(x+2)^3 + x(3)(x+2)^2

=(x+2)^2(1+3x)

for your second post

a) y'=(5/3)x^(2/3) - (10/3)x^(-1/3)

b) y = [(x^2-1)^2]^(1/3)

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

then y'=(2/3)(x^2-1)^(-2/3)(2x) etc

Thanks so much!

## Answer this Question

## Related Questions

- Calculus: Derivatives - I'm having trouble understanding what derivatives in ...
- convert derivatives of x,y,z, to r, Ɵ,z - convert derivatives of x,y,z, to ...
- math - I studied derivatives before, but kind of forgot them all, is there a ...
- calculus - find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^...
- calculus - Z=square root of(x^2+y^2) + xy Find the partial derivatives: x, xx, y...
- calculus - find the partial derivatives du/dx, du/dy and du/dt. u= root (r^2+s^2...
- Calculus (Derivatives) - What is the derivative of the this functon? g(x) = -500...
- calculus - derivatives - can you please find the first 5 derivatives for: f(x...
- Math-Derivitives - if f(x)=x^3+5x, then f'(2)= if f(x)=cos(2x), then f'(pi/4) ...
- Calculus AB (AP) - Hi, I have a calculus test tomorrow and I understand how to ...