What is the derivative of (100/x) ?

The derivative of (100/x) is -(100)/(x^2)

What is the first derivative of (100/x) ?

The first derivative of (100/x) is -(100)/(x^2)

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\frac{d}{d x} (\frac{100}{x})

- \frac{100}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{100}{x})

Take the constant out:

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

= 100 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 100 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 100 (- 1 \cdot x^{- 1 - 1})

Simplify

100 (- 1 \cdot x^{- 1 - 1}) : - \frac{100}{x ^{2}}

= - \frac{100}{x ^{2}}

x \to 0 + lim (x^{6} ln (x))

y^{^{'}} = \frac{x ^{2}}{y ^{2}}

\int_{1}^{e} \frac{4}{x} d x

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

\int \frac{1}{( 2 + x )} d x

What is the derivative of (100/x) ?
The derivative of (100/x) is -(100)/(x^2)
What is the first derivative of (100/x) ?
The first derivative of (100/x) is -(100)/(x^2)