Advanced Mathematics: Differentials
Important Formulas (That You Probably Should Memorise)
- \(\frac{d}{dx}(a)=0\)
- \(\frac{d}{dx}(x)=1\)
- \(\frac{d}{dx}(ax)=a\)
- \(\frac{d}{dx}(x^{n})=nx^{n-1}\)
- \(\frac{d}{dx}(f(x)+f(g))=\frac{d}{dx}(f(x))+\frac{d}{dx}(g(x))\)
- \(f`(x)=\lim \limits_{h \to 0} \frac{f(x+h)-f(x)}{h}\)