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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¿Cómo usar?
- 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
- y=x*arctg(*chx)+(*chx)ln*chx
- y es igual a x multiplicar por arctg( multiplicar por chx) más ( multiplicar por chx)ln multiplicar por chx
- y=xarctg(chx)+(chx)lnchx
- y=xarctgchx+chxlnchx
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Expresiones semejantes
- y=x*arctg(*chx)-(*chx)ln*chx
Derivada de y=x*arctg(*chx)+(*chx)ln*chx
Solución
Ha introducido
[src]
x*atan(cosh(x)) + cosh(x)*log(c)*h*x
$$x h \log{\left(c \right)} \cosh{\left(x \right)} + x \operatorname{atan}{\left(\cosh{\left(x \right)} \right)}$$
x*atan(cosh(x)) + ((cosh(x)*log(c))*h)*x
Primera derivada
[src]
x*sinh(x)
cosh(x)*log(c)*h + ------------ + h*x*log(c)*sinh(x) + atan(cosh(x))
2
1 + cosh (x)
$$h x \log{\left(c \right)} \sinh{\left(x \right)} + h \log{\left(c \right)} \cosh{\left(x \right)} + \frac{x \sinh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1} + \operatorname{atan}{\left(\cosh{\left(x \right)} \right)}$$
Segunda derivada
[src]
2
2*sinh(x) x*cosh(x) 2*x*sinh (x)*cosh(x)
------------ + ------------ + 2*h*log(c)*sinh(x) + h*x*cosh(x)*log(c) - --------------------
2 2 2
1 + cosh (x) 1 + cosh (x) / 2 \
\1 + cosh (x)/
$$h x \log{\left(c \right)} \cosh{\left(x \right)} + 2 h \log{\left(c \right)} \sinh{\left(x \right)} + \frac{x \cosh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1} - \frac{2 x \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}} + \frac{2 \sinh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1}$$
Tercera derivada
[src]
2 3 2 2 3
3*cosh(x) x*sinh(x) 6*sinh (x)*cosh(x) 2*x*sinh (x) 6*x*cosh (x)*sinh(x) 8*x*cosh (x)*sinh (x)
------------ + ------------ - ------------------ - --------------- + 3*h*cosh(x)*log(c) + h*x*log(c)*sinh(x) - -------------------- + ---------------------
2 2 2 2 2 3
1 + cosh (x) 1 + cosh (x) / 2 \ / 2 \ / 2 \ / 2 \
\1 + cosh (x)/ \1 + cosh (x)/ \1 + cosh (x)/ \1 + cosh (x)/
$$h x \log{\left(c \right)} \sinh{\left(x \right)} + 3 h \log{\left(c \right)} \cosh{\left(x \right)} + \frac{x \sinh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1} - \frac{2 x \sinh^{3}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}} - \frac{6 x \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}} + \frac{8 x \sinh^{3}{\left(x \right)} \cosh^{2}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{3}} + \frac{3 \cosh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1} - \frac{6 \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}}$$