What is the derivative of f(x)=3x^{-1} ?

The derivative of f(x)=3x^{-1} is -3/(x^2)

What is the first derivative of f(x)=3x^{-1} ?

The first derivative of f(x)=3x^{-1} is -3/(x^2)

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derivative of

f (x) = 3 x^{- 1}

- \frac{3}{x ^{2}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 3 (- 1 \cdot x^{- 1 - 1})

Simplify

3 (- 1 \cdot x^{- 1 - 1}) : - \frac{3}{x ^{2}}

= - \frac{3}{x ^{2}}

d er i v a t i v e \frac{( 2 x ^{2} + 4 x )}{( x )}

d er i v a t i v e \frac{t ^{3}}{2}

d er i v a t i v e y = [x^{2} + (1 - 3 x) 5] 3

d er i v a t i v e a^{2} + x^{2}

\frac{d}{d x} (\frac{2 \cdot k}{x + d})

What is the derivative of f(x)=3x^{-1} ?
The derivative of f(x)=3x^{-1} is -3/(x^2)
What is the first derivative of f(x)=3x^{-1} ?
The first derivative of f(x)=3x^{-1} is -3/(x^2)