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Posts: 24713
10 months ago
 Rules of differentiation Discussion These rules you have nothing to worry about. They're there to make differentiation easier to do, that's all.Examples:#1,2 Let's say you have:$$f\left(x\right)=x±x^2$$You differentiate twice:$$\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(x^2\right)$$If they're being subtracted (minus), it's:$$\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)$$#3 Let's say you have:$$f\left(x\right)=3x^2$$This becomes:$$3\left[\frac{d}{dx}\left(x^2\right)\right]$$#4 The best rule! Anytime your teacher asks you to differentiate a number without any algebra, it's 0 automatically. For example:$$f\left(x\right)=3x^2+5$$ becomes: $$\frac{d}{dx}3x^2+\frac{d}{dx}5$$$$3\left[\frac{d}{dx}x^2\right]+0$$ ... Read 117 times
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