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Question :

fracddx ( frac18x )

Evaluate the derivative

Solution

solver-selected-icon

- \frac{18}{x ^{2}}

Evaluate

\frac{d}{d x} (\frac{18}{x})

Use differentiation rules

18 \times \frac{d}{d x} (\frac{1}{x})

Rewrite the expression in exponential form

18 \times \frac{d}{d x} (x^{- 1})

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

18 (- x^{- 2})

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

18 (- \frac{1}{x ^{2}})

Solution

- \frac{18}{x ^{2}}

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Frequently Asked Questions

Solution of \(\frac{d}{dx} \left( \frac{18}{x} \right)\)

$- \frac{18}{x ^{2}}$

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