What is the derivative of (400/x) ?

The derivative of (400/x) is -(400)/(x^2)

What is the first derivative of (400/x) ?

The first derivative of (400/x) is -(400)/(x^2)

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\frac{d}{d x} (\frac{400}{x})

- \frac{400}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{400}{x})

Take the constant out:

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

= 400 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 400 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 400 (- 1 \cdot x^{- 1 - 1})

Simplify

400 (- 1 \cdot x^{- 1 - 1}) : - \frac{400}{x ^{2}}

= - \frac{400}{x ^{2}}

\frac{d y}{d x} = \frac{x ^{2} - 7}{15 y ^{2}}

\frac{d}{d x} (3 x^{2} + 4 x - 1)

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

\frac{1}{( s ^{2} + 2 s + 2 ) s}

\frac{d y}{d t} = 6 - \frac{1}{100} y

What is the derivative of (400/x) ?
The derivative of (400/x) is -(400)/(x^2)
What is the first derivative of (400/x) ?
The first derivative of (400/x) is -(400)/(x^2)