What is the derivative of 3/(5x^{2/5}) ?

The derivative of 3/(5x^{2/5}) is -6/(25x^{7/5)}

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

The first derivative of 3/(5x^{2/5}) is -6/(25x^{7/5)}

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

- \frac{6}{25 x ^{\frac{7}{5}}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{3}{5} \frac{d}{d x} (\frac{1}{x ^{\frac{2}{5}}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{3}{5} (- \frac{2}{5} x^{- \frac{2}{5} - 1})

Simplify

\frac{3}{5} (- \frac{2}{5} x^{- \frac{2}{5} - 1}) : - \frac{6}{25 x ^{\frac{7}{5}}}

= - \frac{6}{25 x ^{\frac{7}{5}}}

\int (\frac{e ^{x}}{2} + x x) d x

y^{^{'}} = \frac{4 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2}}{x ^{6} y}

\frac{d}{d x} (\frac{sin ( x )}{ln ( x )})

\frac{d}{d x} (arctan (2 x^{2} - 4))

What is the derivative of 3/(5x^{2/5}) ?
The derivative of 3/(5x^{2/5}) is -6/(25x^{7/5)}
What is the first derivative of 3/(5x^{2/5}) ?
The first derivative of 3/(5x^{2/5}) is -6/(25x^{7/5)}