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Popular >

derivative of a/(y^{10)}

Solution

derivative of

\frac{a}{y ^{10}}

Solution

- \frac{10 a}{y ^{11}}

Solution steps

\frac{d}{d y} (\frac{a}{y ^{10}})

Take the constant out:

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

= a \frac{d}{d y} (\frac{1}{y ^{10}})

Apply exponent rule:

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

= a \frac{d}{d y} (y^{- 10})

Apply the Power Rule:

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

= a (- 10 y^{- 10 - 1})

Simplify

a (- 10 y^{- 10 - 1}) : - \frac{10 a}{y ^{11}}

= - \frac{10 a}{y ^{11}}

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Frequently Asked Questions (FAQ)

What is the derivative of a/(y^{10)} ?
The derivative of a/(y^{10)} is -(10a)/(y^{11)}
What is the first derivative of a/(y^{10)} ?
The first derivative of a/(y^{10)} is -(10a)/(y^{11)}