What is the derivative of cy^{-6} ?

The derivative of cy^{-6} is -(6c)/(y^7)

What is the first derivative of cy^{-6} ?

The first derivative of cy^{-6} is -(6c)/(y^7)

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derivative of

c y^{- 6}

- \frac{6 c}{y ^{7}}

Solution steps

\frac{d}{d y} (c y^{- 6})

Take the constant out:

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

= c \frac{d}{d y} (y^{- 6})

Apply the Power Rule:

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

= c (- 6 y^{- 6 - 1})

Simplify

c (- 6 y^{- 6 - 1}) : - \frac{6 c}{y ^{7}}

= - \frac{6 c}{y ^{7}}

x \to 1 lim (x^{3} - 2 x^{2} + x - 3)

x^{6}

\frac{d}{d x} (\frac{90}{x})

x \to \infty lim (x^{2} + 1)

\frac{d}{d x} (\frac{1}{3} π x^{2} y)

What is the derivative of cy^{-6} ?
The derivative of cy^{-6} is -(6c)/(y^7)
What is the first derivative of cy^{-6} ?
The first derivative of cy^{-6} is -(6c)/(y^7)