What is the derivative of cy^{-7} ?

The derivative of cy^{-7} is -(7c)/(y^8)

What is the first derivative of cy^{-7} ?

The first derivative of cy^{-7} is -(7c)/(y^8)

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derivative of

c y^{- 7}

- \frac{7 c}{y ^{8}}

Solution steps

\frac{d}{d y} (c y^{- 7})

Take the constant out:

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

= c \frac{d}{d y} (y^{- 7})

Apply the Power Rule:

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

= c (- 7 y^{- 7 - 1})

Simplify

c (- 7 y^{- 7 - 1}) : - \frac{7 c}{y ^{8}}

= - \frac{7 c}{y ^{8}}

What is the derivative of cy^{-7} ?
The derivative of cy^{-7} is -(7c)/(y^8)
What is the first derivative of cy^{-7} ?
The first derivative of cy^{-7} is -(7c)/(y^8)