What is the derivative of cy^{-2} ?

The derivative of cy^{-2} is -(2c)/(y^3)

What is the first derivative of cy^{-2} ?

The first derivative of cy^{-2} is -(2c)/(y^3)

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derivative of

c y^{- 2}

- \frac{2 c}{y ^{3}}

Solution steps

\frac{d}{d y} (c y^{- 2})

Take the constant out:

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

= c \frac{d}{d y} (y^{- 2})

Apply the Power Rule:

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

= c (- 2 y^{- 2 - 1})

Simplify

c (- 2 y^{- 2 - 1}) : - \frac{2 c}{y ^{3}}

= - \frac{2 c}{y ^{3}}

What is the derivative of cy^{-2} ?
The derivative of cy^{-2} is -(2c)/(y^3)
What is the first derivative of cy^{-2} ?
The first derivative of cy^{-2} is -(2c)/(y^3)