Difference between revisions of "Derivative/Formulas"
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| <math>\frac d{dx}(cf(x)) = c\left(\frac d{dx} f(x)\right)</math> | | <math>\frac d{dx}(cf(x)) = c\left(\frac d{dx} f(x)\right)</math> | ||
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− | | <math>(f(x)+g(x))' = f'(x) + g'(x)</math> | + | | <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> | | <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>\frac d{dx} x^n = n x^{n-1}</math> | | <math>\frac d{dx} x^n = n x^{n-1}</math> | ||
+ | |- | ||
+ | | <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> | | <math>\frac d{dx} \sin x = \cos x</math> |
Revision as of 20:15, 7 September 2007
List of formulas
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$\frac d{dx} \arccot x = - \frac 1{1+x^2}$ (Error compiling LaTeX. Unknown error_msg) |