I am giving up on these funcitons. If anyone can post a step-by-step visual aid on how to get the derivatives for these two suckers that would be great.

1) sqrt(x)-cubrt(x)

2)3x/(x^2+4)

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- Jul 17th 2011, 07:53 PMAFireInsideNeed help solving derivatives
I am giving up on these funcitons. If anyone can post a step-by-step visual aid on how to get the derivatives for these two suckers that would be great.

1) sqrt(x)-cubrt(x)

2)3x/(x^2+4) - Jul 17th 2011, 08:08 PMpickslidesRe: Need help solving derivatives
Hi AFireInside,

Don't give up just yet. I can help.

$\displaystyle \displaystyle \sqrt{x}-\sqrt[3]{x} = x^{\frac{1}{2}}- x^{\frac{1}{3}}$

Now apply the power rule $\displaystyle \displaystyle f(x)= x^n \implies f'(x) = nx^{n-1}$

With this one try

$\displaystyle \displaystyle y = \frac{f(x)}{g(x)}\implies y' = \frac{g(x)\times f'(x)-f(x)\times g'(x)}{g(x)^2}$