Difference between revisions of "Product rule for derivatives"
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| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Sum rule for derivatives|next=}}: 3.3.3 | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Sum rule for derivatives|next=Quotient rule for derivatives}}: 3.3.3 |
Revision as of 03:02, 4 June 2016
Theorem
Let $f$ and $g$ be differentiable functions. Then, $$\dfrac{\mathrm{d}}{\mathrm{d}x} \left[ f(x)g(x) \right] = f'(x)g(x) + f(x)g'(x),$$ 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): 3.3.3
