Difference between revisions of "Constant multiple rule for derivatives"

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Revision as of 03:09, 4 June 2016

Theorem

Let $f$ and $g$ be differentiable functions and $c$ a constant. Then the following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}x} \left[cf(x) \right] = c f'(x),$$ where $\dfrac{\mathrm{d}}{\mathrm{d}x}$ denotes the derivative operator.

Proof

References