What is the derivative of 5/12 x^{6/5}-5/8 x^{4/5} ?

The derivative of 5/12 x^{6/5}-5/8 x^{4/5} is (x^{1/5})/2-1/(2x^{1/5)}

What is the first derivative of 5/12 x^{6/5}-5/8 x^{4/5} ?

The first derivative of 5/12 x^{6/5}-5/8 x^{4/5} is (x^{1/5})/2-1/(2x^{1/5)}

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\frac{d}{d x} (\frac{5}{12} x^{\frac{6}{5}} - \frac{5}{8} x^{\frac{4}{5}})

\frac{x ^{\frac{1}{5}}}{2} - \frac{1}{2 x ^{\frac{1}{5}}}

Solution steps

\frac{d}{d x} (\frac{5}{12} x^{\frac{6}{5}} - \frac{5}{8} x^{\frac{4}{5}})

Simplify

\frac{5}{12} x^{\frac{6}{5}} - \frac{5}{8} x^{\frac{4}{5}} : \frac{5 x ^{\frac{6}{5}}}{12} - \frac{5 x ^{\frac{4}{5}}}{8}

= \frac{d}{d x} (\frac{5 x ^{\frac{6}{5}}}{12} - \frac{5 x ^{\frac{4}{5}}}{8})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{5 x ^{\frac{6}{5}}}{12}) - \frac{d}{d x} (\frac{5 x ^{\frac{4}{5}}}{8})

\frac{d}{d x} (\frac{5 x ^{\frac{6}{5}}}{12}) = \frac{x ^{\frac{1}{5}}}{2}

\frac{d}{d x} (\frac{5 x ^{\frac{4}{5}}}{8}) = \frac{1}{2 x ^{\frac{1}{5}}}

= \frac{x ^{\frac{1}{5}}}{2} - \frac{1}{2 x ^{\frac{1}{5}}}

\frac{\partial}{\partial y} (5 x^{2} - 2 y)

\frac{1}{( s ^{2} + 9 ) ^{2}}

\frac{d}{d x} (\frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}})

n = 1 \sum \infty \frac{9}{n ln ( 2 n )}

\frac{\partial}{\partial y} (4 y sin (x^{2} y))

What is the derivative of 5/12 x^{6/5}-5/8 x^{4/5} ?
The derivative of 5/12 x^{6/5}-5/8 x^{4/5} is (x^{1/5})/2-1/(2x^{1/5)}
What is the first derivative of 5/12 x^{6/5}-5/8 x^{4/5} ?
The first derivative of 5/12 x^{6/5}-5/8 x^{4/5} is (x^{1/5})/2-1/(2x^{1/5)}