What is the derivative of cx^{-1} ?

The derivative of cx^{-1} is -c/(x^2)

What is the first derivative of cx^{-1} ?

The first derivative of cx^{-1} is -c/(x^2)

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\frac{d}{d x} (c x^{- 1})

- \frac{c}{x ^{2}}

Solution steps

\frac{d}{d x} (c x^{- 1})

Take the constant out:

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

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

Apply the Power Rule:

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

= c (- 1 \cdot x^{- 1 - 1})

Simplify

c (- 1 \cdot x^{- 1 - 1}) : - \frac{c}{x ^{2}}

= - \frac{c}{x ^{2}}

\int x^{\frac{1}{a}} d x

f (x) = 3 x^{3} - x^{2} + 5, (2, 25)

y^{^{'}} + 4 x y = x^{3} e^{x^{2}}

d x = 4 (x^{2} + 1) d t

\frac{1}{( s + 5 )}

What is the derivative of cx^{-1} ?
The derivative of cx^{-1} is -c/(x^2)
What is the first derivative of cx^{-1} ?
The first derivative of cx^{-1} is -c/(x^2)