Difference between revisions of "Sum rule for derivatives"
From specialfunctionswiki
(Created page with "==Theorem== Let $f$ and $g$ be differentiable functions. Then, $$\dfrac{\mathrm{d}}{\mathrm{d}x}[f(x)+g(x)] = f'(x)+g'(x),$$ where $\dfrac{\mathrm{d}}{\mathrm{d}x}$ denote...") |
|||
| Line 6: | Line 6: | ||
==References== | ==References== | ||
| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Constant multiple rule for derivatives|next=Product rule for derivatives}}: 3.3.2 | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Constant multiple rule for derivatives|next=Product rule for derivatives}}: $3.3.2$ |
Latest revision as of 17:21, 27 June 2016
Theorem
Let $f$ and $g$ be differentiable functions. Then, $$\dfrac{\mathrm{d}}{\mathrm{d}x}[f(x)+g(x)] = f'(x)+g'(x),$$ 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): $3.3.2$
