Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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- Derivada de:
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Derivada de x^4/3-x
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Derivada de x^-4/5
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Derivada de x=1
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Derivada de x^2*2^x
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Expresiones idénticas
- x*exp(-x)sqrt(x-x^ dos)*cos^ tres (tres *x)+arcsin(ln(x))*exp^tg(cinco *x)
- x multiplicar por exponente de ( menos x) raíz cuadrada de (x menos x al cuadrado ) multiplicar por coseno de al cubo (3 multiplicar por x) más arc seno de (ln(x)) multiplicar por exponente de en el grado tg(5 multiplicar por x)
- x multiplicar por exponente de ( menos x) raíz cuadrada de (x menos x en el grado dos) multiplicar por coseno de en el grado tres (tres multiplicar por x) más arc seno de (ln(x)) multiplicar por exponente de en el grado tg(cinco multiplicar por x)
- x*exp(-x)√(x-x^2)*cos^3(3*x)+arcsin(ln(x))*exp^tg(5*x)
- x*exp(-x)sqrt(x-x2)*cos3(3*x)+arcsin(ln(x))*exptg(5*x)
- x*exp-xsqrtx-x2*cos33*x+arcsinlnx*exptg5*x
- x*exp(-x)sqrt(x-x²)*cos³(3*x)+arcsin(ln(x))*exp^tg(5*x)
- x*exp(-x)sqrt(x-x en el grado 2)*cos en el grado 3(3*x)+arcsin(ln(x))*exp en el grado tg(5*x)
- xexp(-x)sqrt(x-x^2)cos^3(3x)+arcsin(ln(x))exp^tg(5x)
- xexp(-x)sqrt(x-x2)cos3(3x)+arcsin(ln(x))exptg(5x)
- xexp-xsqrtx-x2cos33x+arcsinlnxexptg5x
- xexp-xsqrtx-x^2cos^33x+arcsinlnxexp^tg5x
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Expresiones semejantes
- x*exp(x)sqrt(x-x^2)*cos^3(3*x)+arcsin(ln(x))*exp^tg(5*x)
- x*exp(-x)sqrt(x+x^2)*cos^3(3*x)+arcsin(ln(x))*exp^tg(5*x)
- x*exp(-x)sqrt(x-x^2)*cos^3(3*x)-arcsin(ln(x))*exp^tg(5*x)
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Expresiones con funciones
- Coseno cos
- cos(3x^2+2)
Derivada de x*exp(-x)sqrt(x-x^2)*cos^3(3*x)+arcsin(ln(x))*exp^tg(5*x)
Solución
Ha introducido
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________ -x / 2 3 tan(5*x) x*e *\/ x - x *cos (3*x) + asin(log(x))*E
$$e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + x e^{- x} \sqrt{- x^{2} + x} \cos^{3}{\left(3 x \right)}$$
((x*exp(-x))*sqrt(x - x^2))*cos(3*x)^3 + asin(log(x))*E^tan(5*x)
Primera derivada
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/ ________ -x\ tan(5*x) ________
3 | / 2 / -x -x\ x*(1/2 - x)*e | e / 2 \ tan(5*x) / 2 2 -x
cos (3*x)*|\/ x - x *\- x*e + e / + ---------------| + ------------------ + \5 + 5*tan (5*x)/*asin(log(x))*e - 9*x*\/ x - x *cos (3*x)*e *sin(3*x)
| ________ | _____________
| / 2 | / 2
\ \/ x - x / x*\/ 1 - log (x)
$$- 9 x \sqrt{- x^{2} + x} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} + \left(\frac{x \left(\frac{1}{2} - x\right) e^{- x}}{\sqrt{- x^{2} + x}} + \sqrt{- x^{2} + x} \left(- x e^{- x} + e^{- x}\right)\right) \cos^{3}{\left(3 x \right)} + \left(5 \tan^{2}{\left(5 x \right)} + 5\right) e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + \frac{e^{\tan{\left(5 x \right)}}}{x \sqrt{1 - \log{\left(x \right)}^{2}}}$$
Segunda derivada
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/ 2 \
3 | ___________ 2*(-1 + 2*x) 4*x x*(-1 + 2*x) 2*x*(-1 + 2*x) 2*(-1 + x)*(-1 + 2*x)| -x 2 / ___________ x*(-1 + 2*x)\ -x
cos (3*x)*|- 4*\/ x*(1 - x) *(-2 + x) + ------------- + ------------- + -------------- - -------------- - ---------------------|*e 9*cos (3*x)*|2*\/ x*(1 - x) *(-1 + x) + -------------|*e *sin(3*x)
tan(5*x) 2 | ___________ ___________ 3/2 ___________ ___________ | tan(5*x) / 2 \ tan(5*x) | ___________| 2 -x
e / 2 \ tan(5*x) \ \/ x*(1 - x) \/ x*(1 - x) (x*(1 - x)) \/ x*(1 - x) \/ x*(1 - x) / e *log(x) ___________ 3 -x ___________ 2 -x 10*\1 + tan (5*x)/*e / 2 \ tan(5*x) \ \/ x*(1 - x) / ___________ 2 -x ___________ 2 -x 9*x*cos (3*x)*(-1 + 2*x)*e *sin(3*x)
- ------------------- + 25*\1 + tan (5*x)/ *asin(log(x))*e - ------------------------------------------------------------------------------------------------------------------------------------ + ------------------- - 27*x*\/ x*(1 - x) *cos (3*x)*e - 9*\/ x*(1 - x) *cos (3*x)*e *sin(3*x) + ---------------------------- + 50*\1 + tan (5*x)/*asin(log(x))*e *tan(5*x) + ------------------------------------------------------------------- + 9*x*\/ x*(1 - x) *cos (3*x)*e *sin(3*x) + 54*x*\/ x*(1 - x) *sin (3*x)*cos(3*x)*e + -------------------------------------
_____________ 4 3/2 _____________ 2 ___________
2 / 2 2 / 2 \ / 2 2*\/ x*(1 - x)
x *\/ 1 - log (x) x *\1 - log (x)/ x*\/ 1 - log (x)
$$54 x \sqrt{x \left(1 - x\right)} e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)} + 9 x \sqrt{x \left(1 - x\right)} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} - 27 x \sqrt{x \left(1 - x\right)} e^{- x} \cos^{3}{\left(3 x \right)} + \frac{9 x \left(2 x - 1\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{2 \sqrt{x \left(1 - x\right)}} - 9 \sqrt{x \left(1 - x\right)} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} + \frac{9 \left(\frac{x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + 2 \sqrt{x \left(1 - x\right)} \left(x - 1\right)\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{2} + 25 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + 50 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}} \tan{\left(5 x \right)} \operatorname{asin}{\left(\log{\left(x \right)} \right)} - \frac{\left(- \frac{2 x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{4 x}{\sqrt{x \left(1 - x\right)}} + \frac{x \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} - 4 \sqrt{x \left(1 - x\right)} \left(x - 2\right) - \frac{2 \left(x - 1\right) \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{2 \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}}\right) e^{- x} \cos^{3}{\left(3 x \right)}}{4} + \frac{10 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}}}{x \sqrt{1 - \log{\left(x \right)}^{2}}} - \frac{e^{\tan{\left(5 x \right)}}}{x^{2} \sqrt{1 - \log{\left(x \right)}^{2}}} + \frac{e^{\tan{\left(5 x \right)}} \log{\left(x \right)}}{x^{2} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{3}{2}}}$$
Tercera derivada
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/ 2 2 2 3 \ / 2 \
3 | 16 16*x 8*(-1 + x) 8*(-1 + 2*x) 4*(-1 + 2*x) ___________ 4*x*(-1 + 2*x) 2*(-1 + 2*x) *(-1 + x) 3*x*(-1 + 2*x) 4*x*(-1 + 2*x) 8*(-1 + 2*x)*(-2 + x) 12*x*(-1 + 2*x)| -x 3 / ___________ x*(-1 + 2*x)\ -x 2 | ___________ 2*(-1 + 2*x) 4*x x*(-1 + 2*x) 2*x*(-1 + 2*x) 2*(-1 + x)*(-1 + 2*x)| -x
cos (3*x)*|------------- - ------------- - ------------- - ------------- + -------------- + 8*\/ x*(1 - x) *(-3 + x) - --------------- - ---------------------- + --------------- + -------------- + --------------------- + ---------------|*e 27*cos (3*x)*|2*\/ x*(1 - x) *(-1 + x) + -------------|*e 2 9*cos (3*x)*|- 4*\/ x*(1 - x) *(-2 + x) + ------------- + ------------- + -------------- - -------------- - ---------------------|*e *sin(3*x)
tan(5*x) tan(5*x) 3 2 | ___________ ___________ ___________ ___________ 3/2 3/2 3/2 5/2 ___________ ___________ 3/2| | ___________| / 2 \ tan(5*x) tan(5*x) 2 tan(5*x) / 2 \ tan(5*x) 2 | ___________ ___________ 3/2 ___________ ___________ | 2 -x 2 -x / 2 \ tan(5*x) 3 -x / 2 \ tan(5*x) 2 -x 2 -x 2 2 -x
e ___________ 3 -x 2*e / 2 \ tan(5*x) / 2 \ tan(5*x) \\/ x*(1 - x) \/ x*(1 - x) \/ x*(1 - x) \/ x*(1 - x) (x*(1 - x)) (x*(1 - x)) (x*(1 - x)) (x*(1 - x)) \/ x*(1 - x) \/ x*(1 - x) (x*(1 - x)) / \ \/ x*(1 - x) / ___________ 3 -x 2 / ___________ x*(-1 + 2*x)\ -x 15*\1 + tan (5*x)/*e 3*e *log(x) 3*log (x)*e ___________ 2 -x ___________ 3 -x 75*\1 + tan (5*x)/ *e ___________ 2 -x 2 / 2 \ tan(5*x) / 2 \ tan(5*x) \ \/ x*(1 - x) \/ x*(1 - x) (x*(1 - x)) \/ x*(1 - x) \/ x*(1 - x) / ___________ 2 -x 9*x*cos (3*x)*e *sin(3*x) 9*cos (3*x)*(-1 + 2*x)*e *sin(3*x) 15*\1 + tan (5*x)/*e *log(x) 27*x*cos (3*x)*(-1 + 2*x)*e 150*\1 + tan (5*x)/*e *tan(5*x) ___________ 2 -x 54*x*sin (3*x)*(-1 + 2*x)*cos(3*x)*e 9*x*cos (3*x)*(-1 + 2*x)*e *sin(3*x) 9*x*(-1 + 2*x) *cos (3*x)*e *sin(3*x)
------------------- - 54*\/ x*(1 - x) *cos (3*x)*e + ------------------- + 125*\1 + tan (5*x)/ *asin(log(x))*e + 250*\1 + tan (5*x)/ *asin(log(x))*e - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------- - 162*x*\/ x*(1 - x) *sin (3*x)*e - 27*sin (3*x)*|2*\/ x*(1 - x) *(-1 + x) + -------------|*cos(3*x)*e - ---------------------------- - ------------------- + ------------------- + 18*\/ x*(1 - x) *cos (3*x)*e *sin(3*x) + 54*x*\/ x*(1 - x) *cos (3*x)*e + ----------------------------- + 108*\/ x*(1 - x) *sin (3*x)*cos(3*x)*e + 500*tan (5*x)*\1 + tan (5*x)/*asin(log(x))*e + 750*\1 + tan (5*x)/ *asin(log(x))*e *tan(5*x) + ----------------------------------------------------------------------------------------------------------------------------------------------- - 108*x*\/ x*(1 - x) *sin (3*x)*cos(3*x)*e + -------------------------- + ----------------------------------- + ----------------------------------- + ----------------------------- + -------------------------------------- + 558*x*\/ x*(1 - x) *cos (3*x)*e *sin(3*x) - -------------------------------------- - ------------------------------------- + --------------------------------------
3/2 _____________ 8 2 | ___________| _____________ 3/2 5/2 _____________ 2 ___________ ___________ 3/2 ___________ _____________ ___________ ___________ 3/2
3 / 2 \ 3 / 2 \ \/ x*(1 - x) / 2 / 2 3 / 2 \ 3 / 2 \ / 2 \/ x*(1 - x) \/ x*(1 - x) 2 / 2 \ \/ x*(1 - x) / 2 \/ x*(1 - x) \/ x*(1 - x) 4*(x*(1 - x))
x *\1 - log (x)/ x *\/ 1 - log (x) x *\/ 1 - log (x) x *\1 - log (x)/ x *\1 - log (x)/ x*\/ 1 - log (x) x *\1 - log (x)/ x*\/ 1 - log (x)
$$- 162 x \sqrt{x \left(1 - x\right)} e^{- x} \sin^{3}{\left(3 x \right)} - 108 x \sqrt{x \left(1 - x\right)} e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)} + 558 x \sqrt{x \left(1 - x\right)} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} + 54 x \sqrt{x \left(1 - x\right)} e^{- x} \cos^{3}{\left(3 x \right)} - \frac{54 x \left(2 x - 1\right) e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} - \frac{9 x \left(2 x - 1\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} + \frac{27 x \left(2 x - 1\right) e^{- x} \cos^{3}{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} + \frac{9 x e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} + \frac{9 x \left(2 x - 1\right)^{2} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{4 \left(x \left(1 - x\right)\right)^{\frac{3}{2}}} + 108 \sqrt{x \left(1 - x\right)} e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)} + 18 \sqrt{x \left(1 - x\right)} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} - 54 \sqrt{x \left(1 - x\right)} e^{- x} \cos^{3}{\left(3 x \right)} - 27 \left(\frac{x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + 2 \sqrt{x \left(1 - x\right)} \left(x - 1\right)\right) e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)} + \frac{27 \left(\frac{x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + 2 \sqrt{x \left(1 - x\right)} \left(x - 1\right)\right) e^{- x} \cos^{3}{\left(3 x \right)}}{2} + 125 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{3} e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + 750 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} e^{\tan{\left(5 x \right)}} \tan{\left(5 x \right)} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + 250 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + 500 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}} \tan^{2}{\left(5 x \right)} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + \frac{9 \left(- \frac{2 x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{4 x}{\sqrt{x \left(1 - x\right)}} + \frac{x \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} - 4 \sqrt{x \left(1 - x\right)} \left(x - 2\right) - \frac{2 \left(x - 1\right) \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{2 \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}}\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{2} - \frac{\left(\frac{4 x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} - \frac{16 x}{\sqrt{x \left(1 - x\right)}} - \frac{4 x \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} + \frac{12 x \left(2 x - 1\right)}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} + \frac{3 x \left(2 x - 1\right)^{3}}{\left(x \left(1 - x\right)\right)^{\frac{5}{2}}} + 8 \sqrt{x \left(1 - x\right)} \left(x - 3\right) + \frac{8 \left(x - 2\right) \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} - \frac{8 \left(x - 1\right)}{\sqrt{x \left(1 - x\right)}} - \frac{8 \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{16}{\sqrt{x \left(1 - x\right)}} - \frac{2 \left(x - 1\right) \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} + \frac{4 \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}}\right) e^{- x} \cos^{3}{\left(3 x \right)}}{8} + \frac{9 \left(2 x - 1\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} + \frac{75 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} e^{\tan{\left(5 x \right)}}}{x \sqrt{1 - \log{\left(x \right)}^{2}}} + \frac{150 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}} \tan{\left(5 x \right)}}{x \sqrt{1 - \log{\left(x \right)}^{2}}} - \frac{15 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}}}{x^{2} \sqrt{1 - \log{\left(x \right)}^{2}}} + \frac{15 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}} \log{\left(x \right)}}{x^{2} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{3}{2}}} + \frac{2 e^{\tan{\left(5 x \right)}}}{x^{3} \sqrt{1 - \log{\left(x \right)}^{2}}} - \frac{3 e^{\tan{\left(5 x \right)}} \log{\left(x \right)}}{x^{3} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{3}{2}}} + \frac{e^{\tan{\left(5 x \right)}}}{x^{3} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{3}{2}}} + \frac{3 e^{\tan{\left(5 x \right)}} \log{\left(x \right)}^{2}}{x^{3} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{5}{2}}}$$
Gráfico