Constant multiple rule for derivatives
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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
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 3.3.1
