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Popular >

derivative of x^{-3/5}+x^{3/5}

Solution

derivative of

x^{- \frac{3}{5}} + x^{\frac{3}{5}}

Solution

- \frac{3}{5 x ^{\frac{8}{5}}} + \frac{3}{5 x ^{\frac{2}{5}}}

Solution steps

\frac{d}{d x} (x^{- \frac{3}{5}} + x^{\frac{3}{5}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{- \frac{3}{5}}) + \frac{d}{d x} (x^{\frac{3}{5}})

\frac{d}{d x} (x^{- \frac{3}{5}}) = - \frac{3}{5 x ^{\frac{8}{5}}}

\frac{d}{d x} (x^{\frac{3}{5}}) = \frac{3}{5 x ^{\frac{2}{5}}}

= - \frac{3}{5 x ^{\frac{8}{5}}} + \frac{3}{5 x ^{\frac{2}{5}}}

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\int_{\frac{1}{2}}^{7} 16 x ln (2 x) d x

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x \to 2 lim (\frac{2 x - 3}{x - 2})

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Frequently Asked Questions (FAQ)

What is the derivative of x^{-3/5}+x^{3/5} ?
The derivative of x^{-3/5}+x^{3/5} is -3/(5x^{8/5)}+3/(5x^{2/5)}
What is the first derivative of x^{-3/5}+x^{3/5} ?
The first derivative of x^{-3/5}+x^{3/5} is -3/(5x^{8/5)}+3/(5x^{2/5)}