What is the derivative of 1/(y^4) ?

The derivative of 1/(y^4) is -4/(y^5)

What is the first derivative of 1/(y^4) ?

The first derivative of 1/(y^4) is -4/(y^5)

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derivative of

\frac{1}{y ^{4}}

- \frac{4}{y ^{5}}

Solution steps

\frac{d}{d y} (\frac{1}{y ^{4}})

Apply exponent rule:

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

= \frac{d}{d y} (y^{- 4})

Apply the Power Rule:

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

= - 4 y^{- 4 - 1}

Simplify

- 4 y^{- 4 - 1} : - \frac{4}{y ^{5}}

= - \frac{4}{y ^{5}}

\int 40

\frac{d}{d x} (tan (x + \frac{π}{4}))

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

f (x) = e^{- 7 x}

cos (arctan (x))

What is the derivative of 1/(y^4) ?
The derivative of 1/(y^4) is -4/(y^5)
What is the first derivative of 1/(y^4) ?
The first derivative of 1/(y^4) is -4/(y^5)