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

The derivative of cx^{-4} is -(4c)/(x^5)

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

The first derivative of cx^{-4} is -(4c)/(x^5)

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\int (2 x^{2} + 9) (x - 3)^{8} d x

\frac{\partial}{\partial x} (x^{2} - y^{2})

\frac{\partial}{\partial y} (ln (1 + x^{2} + y^{2}))

- sec (7 x) - ln (6 x)

x y^{^{'}} - y = x^{2017} y^{2}

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