What is the derivative of (10/x) ?

The derivative of (10/x) is -(10)/(x^2)

What is the first derivative of (10/x) ?

The first derivative of (10/x) is -(10)/(x^2)

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\frac{d}{d x} (\frac{10}{x})

- \frac{10}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{10}{x})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 10 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 10 (- 1 \cdot x^{- 1 - 1})

Simplify

10 (- 1 \cdot x^{- 1 - 1}) : - \frac{10}{x ^{2}}

= - \frac{10}{x ^{2}}

\int \frac{y ln ( x )}{x} d x

\frac{1}{5 x}, at x = 9

\frac{1}{( ( 3 - 2 x ) )}

\frac{5 x + 2}{6 x - 4}

y = x, (0, 6)

What is the derivative of (10/x) ?
The derivative of (10/x) is -(10)/(x^2)
What is the first derivative of (10/x) ?
The first derivative of (10/x) is -(10)/(x^2)