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Popular >

derivative of (10/(2x))

Solution

\frac{d}{d x} (\frac{10}{2 x})

Solution

- \frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{10}{2 x})

Take the constant out:

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

= \frac{10}{2} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= \frac{10}{2} \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

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

Simplify

\frac{10}{2} (- 1 \cdot x^{- 1 - 1}) : - \frac{5}{x ^{2}}

= - \frac{5}{x ^{2}}

Popular Examples

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derivative of (4x^3+6/x)

\frac{d}{d x} (\frac{4 x ^{3} + 6}{x})

Frequently Asked Questions (FAQ)

What is the derivative of (10/(2x)) ?
The derivative of (10/(2x)) is -5/(x^2)
What is the first derivative of (10/(2x)) ?
The first derivative of (10/(2x)) is -5/(x^2)