What is the derivative of cy^{-4} ?

The derivative of cy^{-4} is -(4c)/(y^5)

What is the first derivative of cy^{-4} ?

The first derivative of cy^{-4} is -(4c)/(y^5)

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derivative of

c y^{- 4}

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= c (- 4 y^{- 4 - 1})

Simplify

c (- 4 y^{- 4 - 1}) : - \frac{4 c}{y ^{5}}

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

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What is the derivative of cy^{-4} ?
The derivative of cy^{-4} is -(4c)/(y^5)
What is the first derivative of cy^{-4} ?
The first derivative of cy^{-4} is -(4c)/(y^5)