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English
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Sum RuleDescription \[\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))\] |
Examples \[\frac{d}{dx} \cos{x}+\sin{x}\] 1 Use Sum Rule: \(\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))\). \[(\frac{d}{dx} \cos{x})+(\frac{d}{dx} \sin{x})\] 2 Use Trigonometric Differentiation: the derivative of \(\cos{x}\) is \(-\sin{x}\). \[-\sin{x}+(\frac{d}{dx} \sin{x})\] 3 Use Trigonometric Differentiation: the derivative of \(\sin{x}\) is \(\cos{x}\). \[\cos{x}-\sin{x}\] Done  |
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