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 (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de (3+2x)/(x-5)
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Expresiones idénticas
- y=tan^- uno (e^coshx)^ uno / dos
- y es igual a tangente de en el grado menos 1(e en el grado coseno de eno hiperbólico de x) en el grado 1 dividir por 2
- y es igual a tangente de en el grado menos uno (e en el grado coseno de eno hiperbólico de x) en el grado uno dividir por dos
- y=tan-1(ecoshx)1/2
- y=tan-1ecoshx1/2
- y=tan^-1e^coshx^1/2
- y=tan^-1(e^coshx)^1 dividir por 2
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Expresiones semejantes
- y=tan^+1(e^coshx)^1/2
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Expresiones con funciones
- Tangente tan
- tan^-1(t)
- tan(3*y)
- tan(3*x-pi/6)
Derivada de y=tan^-1(e^coshx)^1/2
Solución
Ha introducido
[src]
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\/ -1
/ / cosh(x)\\
\tan\E //
$$\tan^{\sqrt{-1}}{\left(e^{\cosh{\left(x \right)}} \right)}$$
tan(E^cosh(x))^(sqrt(-1))
Primera derivada
[src]
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\/ -1
/ / cosh(x)\\ / 2/ cosh(x)\\ cosh(x)
I*\tan\E // *\1 + tan \E //*e *sinh(x)
-------------------------------------------------------------
/ cosh(x)\
tan\E /
$$\frac{i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \tan^{\sqrt{-1}}{\left(e^{\cosh{\left(x \right)}} \right)} \sinh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}$$
Segunda derivada
[src]
/ 2 2 / 2/ cosh(x)\\ cosh(x) 2 / 2/ cosh(x)\\ cosh(x)\
I/ cosh(x)\ / 2/ cosh(x)\\ | I*sinh (x) I*cosh(x) 2 cosh(x) sinh (x)*\1 + tan \E //*e I*sinh (x)*\1 + tan \E //*e | cosh(x)
tan \E /*\1 + tan \E //*|------------- + ------------- + 2*I*sinh (x)*e - -------------------------------------- - ----------------------------------------|*e
| / cosh(x)\ / cosh(x)\ 2/ cosh(x)\ 2/ cosh(x)\ |
\tan\E / tan\E / tan \E / tan \E / /
$$\left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) \left(- \frac{\left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} + 2 i e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)} + \frac{i \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{i \cosh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}\right) e^{\cosh{\left(x \right)}} \tan^{i}{\left(e^{\cosh{\left(x \right)}} \right)}$$
Tercera derivada
[src]
/ 2 2 \
| 2 2 / 2/ cosh(x)\\ 2*cosh(x) 2 / 2/ cosh(x)\\ cosh(x) / 2/ cosh(x)\\ cosh(x) / 2/ cosh(x)\\ 2 2*cosh(x) / 2/ cosh(x)\\ 2 2*cosh(x) 2 / 2/ cosh(x)\\ 2*cosh(x) 2 / 2/ cosh(x)\\ cosh(x) / 2/ cosh(x)\\ cosh(x)|
I/ cosh(x)\ / 2/ cosh(x)\\ | I I*sinh (x) 3*I*cosh(x) 2 cosh(x) cosh(x) 6*sinh (x)*\1 + tan \E //*e 3*sinh (x)*\1 + tan \E //*e 3*\1 + tan \E //*cosh(x)*e 3*\1 + tan \E // *sinh (x)*e 2 2*cosh(x) / cosh(x)\ I*\1 + tan \E // *sinh (x)*e 4*I*sinh (x)*\1 + tan \E //*e 3*I*sinh (x)*\1 + tan \E //*e 3*I*\1 + tan \E //*cosh(x)*e | cosh(x)
tan \E /*\1 + tan \E //*|------------- + ------------- + ------------- + 6*I*sinh (x)*e + 6*I*cosh(x)*e - ------------------------------------------ - ---------------------------------------- - --------------------------------------- + ------------------------------------------- + 4*I*sinh (x)*e *tan\E / + ------------------------------------------- - -------------------------------------------- - ------------------------------------------ - -----------------------------------------|*e *sinh(x)
| / cosh(x)\ / cosh(x)\ / cosh(x)\ / cosh(x)\ 2/ cosh(x)\ 2/ cosh(x)\ 3/ cosh(x)\ 3/ cosh(x)\ / cosh(x)\ 2/ cosh(x)\ 2/ cosh(x)\ |
\tan\E / tan\E / tan\E / tan\E / tan \E / tan \E / tan \E / tan \E / tan\E / tan \E / tan \E / /
$$\left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) \left(\frac{3 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right)^{2} e^{2 \cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{3}{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right)^{2} e^{2 \cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{3}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{6 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{2 \cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{4 i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{2 \cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{3 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{3 i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{3 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \cosh{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{3 i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \cosh{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} + 4 i e^{2 \cosh{\left(x \right)}} \tan{\left(e^{\cosh{\left(x \right)}} \right)} \sinh^{2}{\left(x \right)} + 6 i e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)} + 6 i e^{\cosh{\left(x \right)}} \cosh{\left(x \right)} + \frac{i \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{3 i \cosh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{i}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}\right) e^{\cosh{\left(x \right)}} \tan^{i}{\left(e^{\cosh{\left(x \right)}} \right)} \sinh{\left(x \right)}$$