What is the derivative of 1 1/x ?

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

What is the first derivative of 1 1/x ?

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

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

- \frac{1}{x ^{2}}

Solution steps

\frac{d}{d x} (1 \cdot \frac{1}{x})

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{1}{x ^{2}}

\frac{d}{d x} ((3 x + 1)^{6} 2 x - 5)

\int 2 x d x

\frac{d}{d r} (r^{3})

f (x) = arctan (4 x)

\int (5 x^{3} - 2 x^{2} + 3) d x

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