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- 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
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- Derivada de:
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Derivada de e^x*sin(x)
- Derivada de x!
-
Derivada de e^x*x^3
-
Derivada de e^x/x^2
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Expresiones idénticas
- xe^asin(sqrtx-x^ dos)*ln(tg(uno /x))*exp(-x)
- xe en el grado ar coseno de eno de ( raíz cuadrada de x menos x al cuadrado ) multiplicar por ln(tg(1 dividir por x)) multiplicar por exponente de ( menos x)
- xe en el grado ar coseno de eno de ( raíz cuadrada de x menos x en el grado dos) multiplicar por ln(tg(uno dividir por x)) multiplicar por exponente de ( menos x)
- xe^asin(√x-x^2)*ln(tg(1/x))*exp(-x)
- xeasin(sqrtx-x2)*ln(tg(1/x))*exp(-x)
- xeasinsqrtx-x2*lntg1/x*exp-x
- xe^asin(sqrtx-x²)*ln(tg(1/x))*exp(-x)
- xe en el grado asin(sqrtx-x en el grado 2)*ln(tg(1/x))*exp(-x)
- xe^asin(sqrtx-x^2)ln(tg(1/x))exp(-x)
- xeasin(sqrtx-x2)ln(tg(1/x))exp(-x)
- xeasinsqrtx-x2lntg1/xexp-x
- xe^asinsqrtx-x^2lntg1/xexp-x
- xe^asin(sqrtx-x^2)*ln(tg(1 dividir por x))*exp(-x)
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Expresiones semejantes
- xe^asin(sqrtx-x^2)*ln(tg(1/x))*exp(x)
- xe^asin(sqrtx+x^2)*ln(tg(1/x))*exp(-x)
- xe^arcsin(sqrtx-x^2)*ln(tg(1/x))*exp(-x)
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Expresiones con funciones
- xe
- xexp^x(sinx-cosx)+exp^xcosx
- xexp^-x
- xexp-x
- xexp^(-x^2)
- xexp(-x^2)
- Arcoseno arcsin
- asinhx
- asin(x/sqrt(1+x^2))
- asin(x)/x^2
- asin(x-2)
- asin(1/x)
- ln
- ln(2x)/x
- ln|x|
- ln^2(2x-1)
- ln(x+√(x²+1))
- ln*(x+sqrt*(x^2+1))
- tg
- tgx-ctgx
- tg(x)/x^2
- tg^2(3x)
- tg(cosx)
- Exponente exp
- exp(y)
Derivada de xe^asin(sqrtx-x^2)*ln(tg(1/x))*exp(-x)
Solución
Ha introducido
[src]
/ ___ 2\
asin\\/ x - x / / /1\\ -x
x*E *log|tan|-||*e
\ \x//
$$e^{\operatorname{asin}{\left(\sqrt{x} - x^{2} \right)}} x \log{\left(\tan{\left(\frac{1}{x} \right)} \right)} e^{- x}$$
((x*E^asin(sqrt(x) - x^2))*log(tan(1/x)))*exp(-x)
Primera derivada
[src]
// / ___ 2\\ \ || / 1 \ asin\\/ x - x /| / ___ 2\| || x*|------- - 2*x|*e | / 2/1\\ asin\\/ x - x /| || / ___ 2\ | ___ | | |1 + tan |-||*e | / ___ 2\ || asin\\/ x - x / \2*\/ x / | / /1\\ \ \x// | -x -x asin\\/ x - x / / /1\\ ||E + -----------------------------------|*log|tan|-|| - -------------------------------|*e - x*e *e *log|tan|-|| || ___________________ | \ \x// /1\ | \ \x// || / 2 | x*tan|-| | || / / ___ 2\ | \x/ | \\ \/ 1 - \\/ x - x / / /
$$- x e^{- x} e^{\operatorname{asin}{\left(\sqrt{x} - x^{2} \right)}} \log{\left(\tan{\left(\frac{1}{x} \right)} \right)} + \left(\left(e^{\operatorname{asin}{\left(\sqrt{x} - x^{2} \right)}} + \frac{x \left(- 2 x + \frac{1}{2 \sqrt{x}}\right) e^{\operatorname{asin}{\left(\sqrt{x} - x^{2} \right)}}}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}}\right) \log{\left(\tan{\left(\frac{1}{x} \right)} \right)} - \frac{\left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) e^{\operatorname{asin}{\left(\sqrt{x} - x^{2} \right)}}}{x \tan{\left(\frac{1}{x} \right)}}\right) e^{- x}$$
Segunda derivada
[src]
/ / / 2 2 \ \ \ | | | 1 / 1 \ / 1 \ / ___ 2\| / 1 \ | / / 1 \ \| | | | 8 + ---- |- ----- + 4*x| |- ----- + 4*x| *\\/ x - x /| 4*|- ----- + 4*x| | | x*|- ----- + 4*x| || | | | 3/2 | ___ | | ___ | | | ___ | | / 2/1\\ | | ___ | || | | | x \ \/ x / \ \/ x / | \ \/ x / | / /1\\ | 1 + tan |-|| / 2/1\\ | \ \/ x / || | |x*|----------------------- + ------------------ - -----------------------------| + -----------------------|*log|tan|-|| / 2/1\\ |2 2 \x/| |1 + tan |-||*|-2 + -----------------------|| | / / 1 \ \ | | ___________________ 2 3/2 | ___________________| \ \x// |1 + tan |-||*|- + ------ - -----------| \ \x// | ___________________|| | | x*|- ----- + 4*x| | | | / 2 / ___ 2\ / 2\ | / 2 | \ \x// |x /1\ 2/1\ | / 2/1\\ | / 2 || | | | ___ | | | | / / ___ 2\ -1 + \\/ x - x / | / ___ 2\ | | / / ___ 2\ | | tan|-| x*tan |-| | 2*|1 + tan |-|| | / / ___ 2\ || / ___ 2\ | / /1\\ | \ \/ x / | / /1\\ \ \\/ 1 - \\/ x - x / \1 - \\/ x - x / / / \/ 1 - \\/ x - x / / \ \x/ \x/ / \ \x// \ \/ 1 - \\/ x - x / /| -x asin\\/ x - x / |x*log|tan|-|| + |-2 + -----------------------|*log|tan|-|| - ------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------- + --------------- + --------------------------------------------|*e *e | \ \x// | ___________________| \ \x// 4 2 /1\ 2 /1\ | | | / 2 | x x*tan|-| x *tan|-| | | | / / ___ 2\ | \x/ \x/ | \ \ \/ 1 - \\/ x - x / / /
$$\left(x \log{\left(\tan{\left(\frac{1}{x} \right)} \right)} - \frac{\left(x \left(\frac{\left(4 x - \frac{1}{\sqrt{x}}\right)^{2}}{\left(\sqrt{x} - x^{2}\right)^{2} - 1} + \frac{8 + \frac{1}{x^{\frac{3}{2}}}}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - \frac{\left(\sqrt{x} - x^{2}\right) \left(4 x - \frac{1}{\sqrt{x}}\right)^{2}}{\left(1 - \left(\sqrt{x} - x^{2}\right)^{2}\right)^{\frac{3}{2}}}\right) + \frac{4 \left(4 x - \frac{1}{\sqrt{x}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}}\right) \log{\left(\tan{\left(\frac{1}{x} \right)} \right)}}{4} + \left(\frac{x \left(4 x - \frac{1}{\sqrt{x}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - 2\right) \log{\left(\tan{\left(\frac{1}{x} \right)} \right)} + \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x \tan{\left(\frac{1}{x} \right)}} + \frac{\left(\frac{x \left(4 x - \frac{1}{\sqrt{x}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - 2\right) \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x^{2} \tan{\left(\frac{1}{x} \right)}} + \frac{\left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \left(\frac{2}{\tan{\left(\frac{1}{x} \right)}} - \frac{\tan^{2}{\left(\frac{1}{x} \right)} + 1}{x \tan^{2}{\left(\frac{1}{x} \right)}} + \frac{2}{x}\right)}{x^{2}}\right) e^{- x} e^{\operatorname{asin}{\left(\sqrt{x} - x^{2} \right)}}$$
Tercera derivada
[src]
/ / / 2 2 \ \ / / 3 2 3 3 \ 2 2 \ / / 2 2 \ \ \ | | | 1 / 1 \ / 1 \ / ___ 2\| / 1 \ | | | / 1 \ / ___ 2\ / 1 \ / 1 \ / 1 \ / 1 \ / ___ 2\ / 1 \ / ___ 2\ / 1 \| / 1 \ / 1 \ / 1 \ / ___ 2\| / / 1 \ \ / / 1 \ \ | | 1 / 1 \ / 1 \ / ___ 2\| / 1 \ | / / 1 \ \ | | | | 8 + ---- |- ----- + 4*x| |- ----- + 4*x| *\\/ x - x /| 4*|- ----- + 4*x| | | | 2*|- ----- + 4*x| 3*\\/ x - x / *|- ----- + 4*x| 3*|8 + ----|*|- ----- + 4*x| 3*|- ----- + 4*x| *\\/ x - x / 3*|8 + ----|*\\/ x - x /*|- ----- + 4*x|| 6*|8 + ----| 6*|- ----- + 4*x| 6*|- ----- + 4*x| *\\/ x - x /| | x*|- ----- + 4*x| | / 2 \ | x*|- ----- + 4*x| | | | 8 + ---- |- ----- + 4*x| |- ----- + 4*x| *\\/ x - x /| 4*|- ----- + 4*x| | | x*|- ----- + 4*x| | / 2/1\\| | | | 3/2 | ___ | | ___ | | | ___ | | | | | ___ | | ___ | | 3/2| | ___ | | ___ | | 3/2| | ___ || | 3/2| | ___ | | ___ | | | | ___ | | | /1\ / 2/1\\ / 2/1\\ / 2/1\\| / 2/1\\ | | ___ | | | | 3/2 | ___ | | ___ | | | ___ | | | | ___ | | | 1 + tan |-||| | | | x \ \/ x / \ \/ x / | \ \/ x / | / /1\\ | | 3 \ \/ x / \ \/ x / \ x / \ \/ x / \ \/ x / \ x / \ \/ x /| \ x / \ \/ x / \ \/ x / | / /1\\ | \ \/ x / | / /1\\ | 2*tan|-| |1 + tan |-|| 3*|1 + tan |-|| 2*|1 + tan |-||| | 1 + tan |-|| / 2/1\\ | \ \/ x / | / 2/1\\ | | x \ \/ x / \ \/ x / | \ \/ x / | / 2/1\\ | \ \/ x / | |2 2 \x/|| | 3*|x*|----------------------- + ------------------ - -----------------------------| + -----------------------|*log|tan|-|| |x*|- ---------------------------- + ---------------------- + -------------------------------- + ---------------------------- + ------------------------------- - -----------------------------------------| + ----------------------- + ------------------ - -------------------------------|*log|tan|-|| 3*|-2 + -----------------------|*log|tan|-|| / 2/1\\ | 3 6 \x/ \ \x// \ \x// \ \x//| / 2/1\\ |2 2 \x/| 3*|1 + tan |-||*|-2 + -----------------------| 3*|1 + tan |-||*|x*|----------------------- + ------------------ - -----------------------------| + -----------------------| 3*|1 + tan |-||*|-2 + -----------------------|*|- + ------ - -----------|| | | | ___________________ 2 3/2 | ___________________| \ \x// | | ___________________ 3/2 5/2 2 2 3/2 | ___________________ 2 3/2 | \ \x// | ___________________| \ \x// 2*|1 + tan |-||*|------ + - + -------- + -------------- - --------------- - ---------------| 3*|1 + tan |-||*|- + ------ - -----------| \ \x// | ___________________| \ \x// | | ___________________ 2 3/2 | ___________________| \ \x// | ___________________| |x /1\ 2/1\ || | | | / 2 / ___ 2\ / 2\ | / 2 | | | / 2 / 2\ / 2\ / ___ 2\ / 2\ / 2\ | / 2 / ___ 2\ / 2\ | | / 2 | \ \x// | /1\ x 2 2 3/1\ 2/1\ 2 /1\ | / 2/1\\ \ \x// |x /1\ 2/1\ | | / 2 | | | / 2 / ___ 2\ / 2\ | / 2 | | / 2 | | tan|-| x*tan |-| || | | | / / ___ 2\ -1 + \\/ x - x / | / ___ 2\ | | / / ___ 2\ | | | 5/2 / / ___ 2\ | / ___ 2\ | | / ___ 2\ | -1 + \\/ x - x / | / ___ 2\ | | / ___ 2\ | | / / ___ 2\ -1 + \\/ x - x / | / ___ 2\ | | | / / ___ 2\ | |tan|-| x x *tan |-| x*tan |-| x *tan|-| | 3*|1 + tan |-|| | tan|-| x*tan |-| | | / / ___ 2\ | | | / / ___ 2\ -1 + \\/ x - x / | / ___ 2\ | | / / ___ 2\ | | / / ___ 2\ | \ \x/ \x/ /| / ___ 2\ | / /1\\ \ \\/ 1 - \\/ x - x / \1 - \\/ x - x / / / \/ 1 - \\/ x - 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 / / \ \x/ \x/ \x/ \x/ / \ \x// \ \x/ \x/ / \ \/ 1 - \\/ x - x / / \ \\/ 1 - \\/ x - x / \1 - \\/ x - x / / / \/ 1 - \\/ x - x / / \ \/ 1 - \\/ x - x / / | -x asin\\/ x - x / -|x*log|tan|-|| - -------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------- + -------------------------------------------------------------------------------------------- + --------------- + ------------------------------------------ + ---------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------|*e *e | \ \x// 4 8 2 3 /1\ 2 2 /1\ 2 /1\ 3 | | x x*tan|-| x x *tan|-| 4*x *tan|-| 2*x | \ \x/ \x/ \x/ /
$$- \left(x \log{\left(\tan{\left(\frac{1}{x} \right)} \right)} - \frac{3 \left(x \left(\frac{\left(4 x - \frac{1}{\sqrt{x}}\right)^{2}}{\left(\sqrt{x} - x^{2}\right)^{2} - 1} + \frac{8 + \frac{1}{x^{\frac{3}{2}}}}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - \frac{\left(\sqrt{x} - x^{2}\right) \left(4 x - \frac{1}{\sqrt{x}}\right)^{2}}{\left(1 - \left(\sqrt{x} - x^{2}\right)^{2}\right)^{\frac{3}{2}}}\right) + \frac{4 \left(4 x - \frac{1}{\sqrt{x}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}}\right) \log{\left(\tan{\left(\frac{1}{x} \right)} \right)}}{4} + \frac{3 \left(\frac{x \left(4 x - \frac{1}{\sqrt{x}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - 2\right) \log{\left(\tan{\left(\frac{1}{x} \right)} \right)}}{2} + \frac{\left(x \left(\frac{3 \left(8 + \frac{1}{x^{\frac{3}{2}}}\right) \left(4 x - \frac{1}{\sqrt{x}}\right)}{\left(\sqrt{x} - x^{2}\right)^{2} - 1} + \frac{3 \left(\sqrt{x} - x^{2}\right) \left(4 x - \frac{1}{\sqrt{x}}\right)^{3}}{\left(\left(\sqrt{x} - x^{2}\right)^{2} - 1\right)^{2}} - \frac{3 \left(8 + \frac{1}{x^{\frac{3}{2}}}\right) \left(\sqrt{x} - x^{2}\right) \left(4 x - \frac{1}{\sqrt{x}}\right)}{\left(1 - \left(\sqrt{x} - x^{2}\right)^{2}\right)^{\frac{3}{2}}} + \frac{2 \left(4 x - \frac{1}{\sqrt{x}}\right)^{3}}{\left(1 - \left(\sqrt{x} - x^{2}\right)^{2}\right)^{\frac{3}{2}}} + \frac{3 \left(\sqrt{x} - x^{2}\right)^{2} \left(4 x - \frac{1}{\sqrt{x}}\right)^{3}}{\left(1 - \left(\sqrt{x} - x^{2}\right)^{2}\right)^{\frac{5}{2}}} - \frac{3}{x^{\frac{5}{2}} \sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}}\right) + \frac{6 \left(4 x - \frac{1}{\sqrt{x}}\right)^{2}}{\left(\sqrt{x} - x^{2}\right)^{2} - 1} + \frac{6 \left(8 + \frac{1}{x^{\frac{3}{2}}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - \frac{6 \left(\sqrt{x} - x^{2}\right) \left(4 x - \frac{1}{\sqrt{x}}\right)^{2}}{\left(1 - \left(\sqrt{x} - x^{2}\right)^{2}\right)^{\frac{3}{2}}}\right) \log{\left(\tan{\left(\frac{1}{x} \right)} \right)}}{8} + \frac{3 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x \tan{\left(\frac{1}{x} \right)}} - \frac{3 \left(x \left(\frac{\left(4 x - \frac{1}{\sqrt{x}}\right)^{2}}{\left(\sqrt{x} - x^{2}\right)^{2} - 1} + \frac{8 + \frac{1}{x^{\frac{3}{2}}}}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - \frac{\left(\sqrt{x} - x^{2}\right) \left(4 x - \frac{1}{\sqrt{x}}\right)^{2}}{\left(1 - \left(\sqrt{x} - x^{2}\right)^{2}\right)^{\frac{3}{2}}}\right) + \frac{4 \left(4 x - \frac{1}{\sqrt{x}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}}\right) \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)}{4 x^{2} \tan{\left(\frac{1}{x} \right)}} + \frac{3 \left(\frac{x \left(4 x - \frac{1}{\sqrt{x}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - 2\right) \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x^{2} \tan{\left(\frac{1}{x} \right)}} + \frac{3 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \left(\frac{2}{\tan{\left(\frac{1}{x} \right)}} - \frac{\tan^{2}{\left(\frac{1}{x} \right)} + 1}{x \tan^{2}{\left(\frac{1}{x} \right)}} + \frac{2}{x}\right)}{x^{2}} + \frac{3 \left(\frac{x \left(4 x - \frac{1}{\sqrt{x}}\right)}{\sqrt{1 - \left(\sqrt{x} - x^{2}\right)^{2}}} - 2\right) \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \left(\frac{2}{\tan{\left(\frac{1}{x} \right)}} - \frac{\tan^{2}{\left(\frac{1}{x} \right)} + 1}{x \tan^{2}{\left(\frac{1}{x} \right)}} + \frac{2}{x}\right)}{2 x^{3}} + \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \left(\frac{3}{\tan{\left(\frac{1}{x} \right)}} - \frac{3 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x \tan^{2}{\left(\frac{1}{x} \right)}} + \frac{6}{x} + \frac{\left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)^{2}}{x^{2} \tan^{3}{\left(\frac{1}{x} \right)}} - \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x^{2} \tan{\left(\frac{1}{x} \right)}} + \frac{2 \tan{\left(\frac{1}{x} \right)}}{x^{2}}\right)}{x^{3}}\right) e^{- x} e^{\operatorname{asin}{\left(\sqrt{x} - x^{2} \right)}}$$
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