Formulas derivadas

Question	Answer
$\frac{\mathrm d}{\mathrm d x} \left( c \right)$	$0$
$\frac{\mathrm d}{\mathrm d x} \left( x \right)$	$1$
$\frac{\mathrm d}{\mathrm d x} \left( x^n \right)$	$n x^{n-1}$
$\frac{\mathrm d}{\mathrm d x} \left( a^x \right)$	$Ln a\hspace{0.25cm} a^{x}$
$\frac{\mathrm d}{\mathrm d x} \left( e^x \right)$	$e^{x}$
$\frac{\mathrm d}{\mathrm d x} \left( Sen(x) \right)$	$Cos(x)$
$\frac{\mathrm d}{\mathrm d x} \left( Cos(x) \right)$	$- Sen(x)$
$\frac{\mathrm d}{\mathrm d x} \left( Tg(x) \right)$	$Sec^2(x)$
$\frac{\mathrm d}{\mathrm d x} \left( Ctg(x) \right)$	$-Csc^2(x)$
$\frac{\mathrm d}{\mathrm d x} \left( Sec(x) \right)$	$Sec(x)\hspace{0.25cm}Tg(x)$
$\frac{\mathrm d}{\mathrm d x} \left( Csc(x) \right)$	$-\hspace{0.25cm}Csc(x)\hspace{0.25cm}Ctg(x)$
$\frac{\mathrm d}{\mathrm d x} \left( ArcSen(x) \right)$	$\frac{1}{\sqrt{1-x^2}}$
$\frac{\mathrm d}{\mathrm d x} \left( ArcCos(x) \right)$	$-\hspace{0.25cm}\frac{1}{\sqrt{1-x^2}}$
$\frac{\mathrm d}{\mathrm d x} \left( ArcSec(x) \right)$	$\frac{1}{x\sqrt{x^2-1}}$
$\frac{\mathrm d}{\mathrm d x} \left( ArcCsc(x) \right)$	$-\hspace{0.25cm}\frac{1}{x\sqrt{x^2-1}}$
$\frac{\mathrm d}{\mathrm d x} \left( ArcTg(x) \right)$	$\frac{1}{x^2+1}$
$\frac{\mathrm d}{\mathrm d x} \left( ArcCtg(x) \right)$	$-\hspace{0.25cm}\frac{1}{x^2+1}$
$\frac{\mathrm d}{\mathrm d x} \left( Ln(x) \right)$	$\frac{1}{x}$
$d\left(\text{Log}_ax\right)$	$\frac{1}{\text{Ln} a . x}$

Resource summary

	Created by GUADALUPE CASTRO over 10 years ago