What is the derivative of 6x^{-1} ?

The derivative of 6x^{-1} is -6/(x^2)

What is the first derivative of 6x^{-1} ?

The first derivative of 6x^{-1} is -6/(x^2)

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\frac{d}{d x} (6 x^{- 1})

- \frac{6}{x ^{2}}

Solution steps

\frac{d}{d x} (6 x^{- 1})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 6 (- 1 \cdot x^{- 1 - 1})

Simplify

6 (- 1 \cdot x^{- 1 - 1}) : - \frac{6}{x ^{2}}

= - \frac{6}{x ^{2}}

d er i v a t i v e e^{(c o s (t) + l n (t))}

x \to \infty lim (\frac{1}{2 x})

\frac{d}{d x} (ln (ln (2 x^{3})))

d er i v a t i v e \frac{x - 6}{x + 6}

l a pl a ce t r an s f or m 7 + 3 t + 2 t^{2} - 5 t^{3}

What is the derivative of 6x^{-1} ?
The derivative of 6x^{-1} is -6/(x^2)
What is the first derivative of 6x^{-1} ?
The first derivative of 6x^{-1} is -6/(x^2)