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

The derivative of cx^{-7} is -(7c)/(x^8)

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

The first derivative of cx^{-7} is -(7c)/(x^8)

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{d y}{d x} = \frac{sec ( y )}{( x + 2 ) ^{2}}

\int \frac{k}{x ^{4}} d x

\frac{\partial}{\partial y} (2 x - 4 y)

\int \frac{4 x ^{2} + 3}{0.4 x ^{3} + 0.9 x} d x

\frac{d}{d t} (\frac{t ^{3} - 2 t ^{2} + 2 t - 4}{t ^{2} + 2})

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