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 9 years ago