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Popular >

derivative of f(x)=-1x^{-3/5}

Solution

derivative of

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

Solution

\frac{3}{5 x ^{\frac{8}{5}}}

Solution steps

\frac{d}{d x} (- 1 \cdot x^{- \frac{3}{5}})

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

- (- \frac{3}{5} x^{- \frac{3}{5} - 1}) : \frac{3}{5 x ^{\frac{8}{5}}}

= \frac{3}{5 x ^{\frac{8}{5}}}

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\frac{d}{d x} (cos (\frac{x}{y}))

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\frac{d}{d a} (2 sin (2 a) + 2 cos^{2} (a))

inverse oflaplace 2/(s+1)+(16s)/(s^2+9)inverse laplace

\frac{2}{s + 1} + \frac{16 s}{s ^{2} + 9}

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(1.4) (3.5)

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\frac{1}{s ^{2} + 3 s}

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-1x^{-3/5} ?
The derivative of f(x)=-1x^{-3/5} is 3/(5x^{8/5)}
What is the first derivative of f(x)=-1x^{-3/5} ?
The first derivative of f(x)=-1x^{-3/5} is 3/(5x^{8/5)}