What is the derivative of f(x)=6x^{-1} ?

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

What is the first derivative of f(x)=6x^{-1} ?

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

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derivative of

f (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}}

\frac{d}{d x} (cos^{2} (1 - 2 x))

\frac{d y}{d x} = (\frac{2 y + 5}{8 x + 9})^{2}

\frac{4}{s ^{2} - 9}

\int \frac{1}{x ( x - 9 ) ^{2}} d x

\int (1 - x^{2})^{\frac{3}{2}} d x

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