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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derivative of

\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}}

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

5 y

\frac{d}{d x} (\frac{d y}{d x}) + y = 7 sin (x)

\int \frac{0.8 ( 3 + ln ( u ) ) ^{3}}{u} d u

y = 2 x^{3} - 8 x, (2, 0)

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)