# Thread: Further Simplifying A Derivative

1. ## Further Simplifying A Derivative

$\displaystyle \frac{kx}{(x^2+r^2)^\frac{3}{2}}$

I had to take the derivative with r being a constant and k constant

I arrived at this unsimplified derivative

$\displaystyle \frac{k}{(x^2+r^2)^\frac{3}{2}}-\frac{3}{2}*\frac{kx(2x)}{(x^2+r^2)^\frac{5}{2}}$

I know there is a further way to simplify this as I see it in the solution manual but I want to learn how to instead of just seeing and copying

I know who have to find a common denom. however I dont recall doing functions with fractional powers or whatever you may call it.

2. Originally Posted by sk8erboyla2004

$\displaystyle \frac{kx}{(x^2+r^2)^\frac{3}{2}}$

I had to take the derivative with r being a constant and k constant

I arrived at this unsimplified derivative

$\displaystyle \frac{k}{(x^2+r^2)^\frac{3}{2}}-\frac{3}{2}*\frac{kx(2x)}{(x^2+r^2)^\frac{5}{2}}$

I know there is a further way to simplify this as I see it in the solution manual but I want to learn how to instead of just seeing and copying

I know who have to find a common denom. however I dont recall doing functions with fractional powers or whatever you may call it.
Multiply the numerator and denominator of the first term by $\displaystyle (x^2 + r^2)$.