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
-
¿Cómo usar?
- Derivada de:
-
Derivada de 1/(x+3)
-
Derivada de 4*y
-
Derivada de (2x-7)^8
-
Derivada de (-1)/x-3*x
-
Expresiones idénticas
- y=tan^- tres (e^coshx)^ uno ÷ dos
- y es igual a tangente de en el grado menos 3(e en el grado coseno de eno hiperbólico de x) en el grado 1÷2
- y es igual a tangente de en el grado menos tres (e en el grado coseno de eno hiperbólico de x) en el grado uno ÷ dos
- y=tan-3(ecoshx)1÷2
- y=tan-3ecoshx1÷2
- y=tan^-3e^coshx^1÷2
-
Expresiones semejantes
- y=tan^+3(e^coshx)^1÷2
-
Expresiones con funciones
- Tangente tan
- tan(3*y)
- tan(3*x-pi/6)
Derivada de y=tan^-3(e^coshx)^1÷2
Solución
Ha introducido
[src]
____
\/ -3
/ / cosh(x)\\
\tan\E //
$$\tan^{\sqrt{-3}}{\left(e^{\cosh{\left(x \right)}} \right)}$$
tan(E^cosh(x))^(sqrt(-3))
Primera derivada
[src]
____
\/ -3
___ / / cosh(x)\\ / 2/ cosh(x)\\ cosh(x)
I*\/ 3 *\tan\E // *\1 + tan \E //*e *sinh(x)
-------------------------------------------------------------------
/ cosh(x)\
tan\E /
$$\frac{\sqrt{3} i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \tan^{\sqrt{-3}}{\left(e^{\cosh{\left(x \right)}} \right)} \sinh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}$$
Segunda derivada
[src]
___
I*\/ 3 / ___ 2 ___ 2 / 2/ cosh(x)\\ cosh(x) ___ 2 / 2/ cosh(x)\\ cosh(x)\
/ / cosh(x)\\ / 2/ cosh(x)\\ |I*\/ 3 *sinh (x) I*\/ 3 *cosh(x) 3*sinh (x)*\1 + tan \E //*e ___ 2 cosh(x) I*\/ 3 *sinh (x)*\1 + tan \E //*e | cosh(x)
\tan\E // *\1 + tan \E //*|---------------- + --------------- - ---------------------------------------- + 2*I*\/ 3 *sinh (x)*e - ----------------------------------------------|*e
| / cosh(x)\ / cosh(x)\ 2/ cosh(x)\ 2/ cosh(x)\ |
\ tan\E / tan\E / tan \E / tan \E / /
$$\left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) \left(- \frac{3 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{\sqrt{3} i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} + 2 \sqrt{3} i e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)} + \frac{\sqrt{3} i \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{\sqrt{3} i \cosh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}\right) e^{\cosh{\left(x \right)}} \tan^{\sqrt{3} i}{\left(e^{\cosh{\left(x \right)}} \right)}$$
Tercera derivada
[src]
___ / 2 2 \
I*\/ 3 | ___ ___ 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)|
/ / cosh(x)\\ / 2/ cosh(x)\\ | I*\/ 3 I*\/ 3 *sinh (x) 18*sinh (x)*\1 + tan \E //*e 9*sinh (x)*\1 + tan \E //*e 9*\1 + tan \E //*cosh(x)*e 3*I*\/ 3 *cosh(x) ___ 2 cosh(x) ___ cosh(x) 9*\1 + tan \E // *sinh (x)*e ___ 2 2*cosh(x) / cosh(x)\ I*\/ 3 *\1 + tan \E // *sinh (x)*e 4*I*\/ 3 *sinh (x)*\1 + tan \E //*e 3*I*\/ 3 *sinh (x)*\1 + tan \E //*e 3*I*\/ 3 *\1 + tan \E //*cosh(x)*e | cosh(x)
\tan\E // *\1 + tan \E //*|------------- + ---------------- - ------------------------------------------- - ---------------------------------------- - --------------------------------------- + ----------------- + 6*I*\/ 3 *sinh (x)*e + 6*I*\/ 3 *cosh(x)*e + ------------------------------------------- + 4*I*\/ 3 *sinh (x)*e *tan\E / - ------------------------------------------------- - -------------------------------------------------- - ------------------------------------------------ - -----------------------------------------------|*e *sinh(x)
| / cosh(x)\ / cosh(x)\ / cosh(x)\ 2/ cosh(x)\ 2/ cosh(x)\ / 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{9 \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{\sqrt{3} 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{18 \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 \sqrt{3} 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{9 \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 \sqrt{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{9 \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 \sqrt{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 \sqrt{3} i e^{2 \cosh{\left(x \right)}} \tan{\left(e^{\cosh{\left(x \right)}} \right)} \sinh^{2}{\left(x \right)} + 6 \sqrt{3} i e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)} + 6 \sqrt{3} i e^{\cosh{\left(x \right)}} \cosh{\left(x \right)} + \frac{\sqrt{3} i \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{3 \sqrt{3} i \cosh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{\sqrt{3} i}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}\right) e^{\cosh{\left(x \right)}} \tan^{\sqrt{3} i}{\left(e^{\cosh{\left(x \right)}} \right)} \sinh{\left(x \right)}$$