What is the derivative of f(x)=cx^{-7} ?

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

What is the first derivative of f(x)=cx^{-7} ?

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

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derivative of

f (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}}

\int_{0}^{\frac{π}{2}} sin^{3} (x) d x

\int - 4 x^{2} - 4 x + 48 d x

x \to 0 + lim (ln (\frac{7}{x ^{3}}))

\int \frac{1}{x} - x d x

y = \frac{3}{x}, (- 2, - \frac{3}{2})

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