What is the derivative of f(x)= 6/x ?

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

What is the first derivative of f(x)= 6/x ?

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

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derivative of

f (x) = \frac{6}{x}

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

Solution steps

\frac{d}{d x} (\frac{6}{x})

Take the constant out:

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

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 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}}

x \to 0 lim (\frac{( 2 x ^{2} + 16 )}{x})

x^{2} e^{x^{2}}

n = 1 \sum \infty n \cdot (\frac{3}{4})^{n}

\int \frac{9 - x ^{2}}{x ^{3}} d x

\int \frac{1}{x ^{2} 16 - x ^{2}} d x

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