Formulas derivadas

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CALCULO DIFERENCIAL Flashcards on Formulas derivadas, created by GUADALUPE CASTRO on 29/10/2014.
GUADALUPE CASTRO
Flashcards by GUADALUPE CASTRO, updated more than 1 year ago
GUADALUPE CASTRO
Created by GUADALUPE CASTRO about 10 years ago
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Question Answer
\[\frac{\mathrm d}{\mathrm d x} \left( c \right)\] \[ 0 \]
\[\frac{\mathrm d}{\mathrm d x} \left( x \right)\] \[ 1 \]
\[\frac{\mathrm d}{\mathrm d x} \left( x^n \right)\] \[ n x^{n-1} \]
\[\frac{\mathrm d}{\mathrm d x} \left( a^x \right)\] \[ Ln a\hspace{0.25cm} a^{x} \]
\[\frac{\mathrm d}{\mathrm d x} \left( e^x \right)\] \[ e^{x} \]
\[\frac{\mathrm d}{\mathrm d x} \left( Sen(x) \right)\] \[ Cos(x) \]
\[\frac{\mathrm d}{\mathrm d x} \left( Cos(x) \right)\] \[ - Sen(x) \]
\[\frac{\mathrm d}{\mathrm d x} \left( Tg(x) \right)\] \[ Sec^2(x) \]
\[\frac{\mathrm d}{\mathrm d x} \left( Ctg(x) \right)\] \[ -Csc^2(x) \]
\[\frac{\mathrm d}{\mathrm d x} \left( Sec(x) \right)\] \[ Sec(x)\hspace{0.25cm}Tg(x) \]
\[\frac{\mathrm d}{\mathrm d x} \left( Csc(x) \right)\] \[ -\hspace{0.25cm}Csc(x)\hspace{0.25cm}Ctg(x) \]
\[\frac{\mathrm d}{\mathrm d x} \left( ArcSen(x) \right)\] \[\frac{1}{\sqrt{1-x^2}} \]
\[\frac{\mathrm d}{\mathrm d x} \left( ArcCos(x) \right)\] \[-\hspace{0.25cm}\frac{1}{\sqrt{1-x^2}} \]
\[\frac{\mathrm d}{\mathrm d x} \left( ArcSec(x) \right)\] \[\frac{1}{x\sqrt{x^2-1}}\]
\[\frac{\mathrm d}{\mathrm d x} \left( ArcCsc(x) \right)\] \[-\hspace{0.25cm}\frac{1}{x\sqrt{x^2-1}}\]
\[\frac{\mathrm d}{\mathrm d x} \left( ArcTg(x) \right)\] \[\frac{1}{x^2+1}\]
\[\frac{\mathrm d}{\mathrm d x} \left( ArcCtg(x) \right)\] \[-\hspace{0.25cm}\frac{1}{x^2+1}\]
\[\frac{\mathrm d}{\mathrm d x} \left( Ln(x) \right)\] \[\frac{1}{x}\]
\[d\left(\text{Log}_ax\right)\] \[\frac{1}{\text{Ln} a . x}\]
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