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| − | == List of formulas ==
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| − | {| style="margin: 1em auto 1em auto; height:1000px"
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| − | | <math>\frac d{dx}(cf(x)) = c\left(\frac d{dx} f(x)\right)</math> where c is a constant
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| − | | <math>(f(x) + g(x))' = f'(x) + g'(x)</math>
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| − | | <math>(f(x)-g(x))'=f'(x)-g'(x)</math>
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| − | | <math>\left(u(x)\times v(x)\right)'=u(x)v'(x)+u'(x)v(x)</math>
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| − | | <math>\left(\frac{u(x)}{v(x)}\right)' = \frac{u'(x)v(x) - u(x)v'(x)}{(v(x))^2}</math>
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| − | | <math>(f(g(x)))' = f'(g(x))g'(x)</math>
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| − | | <math>\frac d{dx} x^n = n x^{n-1}</math>
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| − | | <math>\frac d{dx} (f(x))^n =n f(x)^{n-1} f'(x)</math>
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| − | | <math>\frac d{dx} \sin x = \cos x</math>
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| − | | <math>\frac d{dx} \cos x = -\sin x</math>
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| − | | <math>\frac d{dx} \tan x = \sec^2 x</math>
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| − | | <math>\frac d{dx} \sec x = \sec x \tan x</math>
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| − | | <math>\frac d{dx} \csc x = -\csc x\cot x</math>
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| − | | <math>\frac d{dx} \cot x = -\csc^2 x</math>
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| − | | <math>\frac d{dx} e^x = e^x</math>
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| − | | <math>\frac d{dx} a^x = (\ln a) a^x</math>
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| − | | <math>\frac d{dx} \ln x = \frac 1x</math>
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| − | | <math>\frac d{dx} \log_b x =\frac{\log_b e}{x} </math>
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| − | | <math>\frac d{dx} \arcsin x = \frac 1{\sqrt{1-x^2}}</math>
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| − | | <math>\frac d{dx} \arccos x = -\frac 1{\sqrt{1-x^2}}</math>
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| − | | <math>\frac d{dx} \arctan x = \frac 1{1+x^2}</math>
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| − | | <math>\frac d{dx} \mathrm{arcsec \ } x = \frac 1{\mid x \mid\sqrt{x^2-1}}</math>
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| − | | <math>\frac d{dx} \mathrm{arccsc \ } x = - \frac 1{x\sqrt{x^2 - 1}}</math>
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| − | | <math>\frac d{dx} \mathrm{arccot \ } x = - \frac 1{1+x^2}</math>
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| − | |}
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| | == See also == | | == See also == |
| | * [[Calculus]] | | * [[Calculus]] |
| | * [[Derivative]] | | * [[Derivative]] |
