What is the derivative of cy^{-5} ?

The derivative of cy^{-5} is -(5c)/(y^6)

What is the first derivative of cy^{-5} ?

The first derivative of cy^{-5} is -(5c)/(y^6)

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derivative of

c y^{- 5}

- \frac{5 c}{y ^{6}}

Solution steps

\frac{d}{d y} (c y^{- 5})

Take the constant out:

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

= c \frac{d}{d y} (y^{- 5})

Apply the Power Rule:

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

= c (- 5 y^{- 5 - 1})

Simplify

c (- 5 y^{- 5 - 1}) : - \frac{5 c}{y ^{6}}

= - \frac{5 c}{y ^{6}}

What is the derivative of cy^{-5} ?
The derivative of cy^{-5} is -(5c)/(y^6)
What is the first derivative of cy^{-5} ?
The first derivative of cy^{-5} is -(5c)/(y^6)