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 8*cos(x)^(3)
-
Derivada de 2÷x
-
Derivada de (3x+6)^2
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Derivada de 3^(x*x)
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Expresiones idénticas
- x^(e)/((log(cosh(x^e*x))/log(diez)))
- x en el grado (e) dividir por (( logaritmo de ( coseno de eno hiperbólico de (x en el grado e multiplicar por x)) dividir por logaritmo de (10)))
- x en el grado (e) dividir por (( logaritmo de ( coseno de eno hiperbólico de (x en el grado e multiplicar por x)) dividir por logaritmo de (diez)))
- x(e)/((log(cosh(xe*x))/log(10)))
- xe/logcoshxe*x/log10
- x^(e)/((log(cosh(x^ex))/log(10)))
- x(e)/((log(cosh(xex))/log(10)))
- xe/logcoshxex/log10
- x^e/logcoshx^ex/log10
- x^(e) dividir por ((log(cosh(x^e*x)) dividir por log(10)))
Derivada de x^(e)/((log(cosh(x^e*x))/log(10)))
Solución
Ha introducido
[src]
E
x
-----------------
/ / / E \\\
|log\cosh\x *x//|
|---------------|
\ log(10) /
$$\frac{x^{e}}{\frac{1}{\log{\left(10 \right)}} \log{\left(\cosh{\left(x x^{e} \right)} \right)}}$$
x^E/((log(cosh(x^E*x))/log(10)))
Primera derivada
[src]
E log(10)
E*x *---------------
/ / E \\ E / E E\ / E \
log\cosh\x *x// x *\x + E*x /*log(10)*sinh\x *x/
-------------------- - ---------------------------------
x / E \ 2/ / E \\
cosh\x *x/*log \cosh\x *x//
$$- \frac{x^{e} \left(x^{e} + e x^{e}\right) \log{\left(10 \right)} \sinh{\left(x x^{e} \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)}^{2} \cosh{\left(x x^{e} \right)}} + \frac{e x^{e} \frac{\log{\left(10 \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)}}}{x}$$
Segunda derivada
[src]
/ / E 2/ E\ / E\ E 2/ E\ \ \
| E | E x *sinh \x*x /*(1 + E) E*sinh\x*x / 2*x *sinh \x*x /*(1 + E) | |
| x *(1 + E)*|- x *(1 + E) + ---------------------- - ------------ + ---------------------------| |
| | 2/ E\ / E\ 2/ E\ / / E\\| E / E\ |
E | E*(1 - E) \ cosh \x*x / x*cosh\x*x / cosh \x*x /*log\cosh\x*x /// 2*E*x *(1 + E)*sinh\x*x / |
x *|- --------- + ----------------------------------------------------------------------------------------------- - ----------------------------|*log(10)
| 2 / / E\\ / E\ / / E\\|
\ x log\cosh\x*x // x*cosh\x*x /*log\cosh\x*x ///
---------------------------------------------------------------------------------------------------------------------------------------------------------
/ / E\\
log\cosh\x*x //
$$\frac{x^{e} \left(\frac{x^{e} \left(1 + e\right) \left(\frac{x^{e} \left(1 + e\right) \sinh^{2}{\left(x x^{e} \right)}}{\cosh^{2}{\left(x x^{e} \right)}} - x^{e} \left(1 + e\right) + \frac{2 x^{e} \left(1 + e\right) \sinh^{2}{\left(x x^{e} \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)} \cosh^{2}{\left(x x^{e} \right)}} - \frac{e \sinh{\left(x x^{e} \right)}}{x \cosh{\left(x x^{e} \right)}}\right)}{\log{\left(\cosh{\left(x x^{e} \right)} \right)}} - \frac{2 e x^{e} \left(1 + e\right) \sinh{\left(x x^{e} \right)}}{x \log{\left(\cosh{\left(x x^{e} \right)} \right)} \cosh{\left(x x^{e} \right)}} - \frac{e \left(1 - e\right)}{x^{2}}\right) \log{\left(10 \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)}}$$
Tercera derivada
[src]
/ / E 2 2*E 3 3/ E\ 2*E 3 / E\ / 2\ / E\ 2*E 3 3/ E\ 2*E 3 3/ E\ 2*E 3 / E\ E 2 2/ E\ E 2 2/ E\ \ / E 2/ E\ / E\ E 2/ E\ \ \
| E | 3*E*x *(1 + E) 2*x *(1 + E) *sinh \x*x / 2*x *(1 + E) *sinh\x*x / E*\1 - e /*sinh\x*x / 6*x *(1 + E) *sinh \x*x / 6*x *(1 + E) *sinh \x*x / 6*x *(1 + E) *sinh\x*x / 3*E*x *(1 + E) *sinh \x*x / 6*E*x *(1 + E) *sinh \x*x / | E | E x *sinh \x*x /*(1 + E) E*sinh\x*x / 2*x *sinh \x*x /*(1 + E) | |
| x *|- --------------- - --------------------------- + -------------------------- + --------------------- - --------------------------- - ---------------------------- + -------------------------- + --------------------------- + -----------------------------| 3*E*x *(1 + E)*|- x *(1 + E) + ---------------------- - ------------ + ---------------------------| |
| / 2\ | x 3/ E\ / E\ 2 / E\ 3/ E\ / / E\\ 3/ E\ 2/ / E\\ / E\ / / E\\ 2/ E\ 2/ E\ / / E\\| | 2/ E\ / E\ 2/ E\ / / E\\| E / E\|
E |E*\2 - 3*E + e / \ cosh \x*x / cosh\x*x / x *cosh\x*x / cosh \x*x /*log\cosh\x*x // cosh \x*x /*log \cosh\x*x // cosh\x*x /*log\cosh\x*x // x*cosh \x*x / x*cosh \x*x /*log\cosh\x*x /// \ cosh \x*x / x*cosh\x*x / cosh \x*x /*log\cosh\x*x /// 3*E*x *(1 + E)*(1 - E)*sinh\x*x /|
x *|---------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------- + ---------------------------------|*log(10)
| 3 / / E\\ / / E\\ 2 / E\ / / E\\ |
\ x log\cosh\x*x // x*log\cosh\x*x // x *cosh\x*x /*log\cosh\x*x // /
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ / E\\
log\cosh\x*x //
$$\frac{x^{e} \left(\frac{x^{e} \left(- \frac{2 x^{2 e} \left(1 + e\right)^{3} \sinh^{3}{\left(x x^{e} \right)}}{\cosh^{3}{\left(x x^{e} \right)}} + \frac{2 x^{2 e} \left(1 + e\right)^{3} \sinh{\left(x x^{e} \right)}}{\cosh{\left(x x^{e} \right)}} - \frac{6 x^{2 e} \left(1 + e\right)^{3} \sinh^{3}{\left(x x^{e} \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)} \cosh^{3}{\left(x x^{e} \right)}} + \frac{6 x^{2 e} \left(1 + e\right)^{3} \sinh{\left(x x^{e} \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)} \cosh{\left(x x^{e} \right)}} - \frac{6 x^{2 e} \left(1 + e\right)^{3} \sinh^{3}{\left(x x^{e} \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)}^{2} \cosh^{3}{\left(x x^{e} \right)}} + \frac{3 e x^{e} \left(1 + e\right)^{2} \sinh^{2}{\left(x x^{e} \right)}}{x \cosh^{2}{\left(x x^{e} \right)}} - \frac{3 e x^{e} \left(1 + e\right)^{2}}{x} + \frac{6 e x^{e} \left(1 + e\right)^{2} \sinh^{2}{\left(x x^{e} \right)}}{x \log{\left(\cosh{\left(x x^{e} \right)} \right)} \cosh^{2}{\left(x x^{e} \right)}} + \frac{e \left(1 - e^{2}\right) \sinh{\left(x x^{e} \right)}}{x^{2} \cosh{\left(x x^{e} \right)}}\right)}{\log{\left(\cosh{\left(x x^{e} \right)} \right)}} + \frac{3 e x^{e} \left(1 + e\right) \left(\frac{x^{e} \left(1 + e\right) \sinh^{2}{\left(x x^{e} \right)}}{\cosh^{2}{\left(x x^{e} \right)}} - x^{e} \left(1 + e\right) + \frac{2 x^{e} \left(1 + e\right) \sinh^{2}{\left(x x^{e} \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)} \cosh^{2}{\left(x x^{e} \right)}} - \frac{e \sinh{\left(x x^{e} \right)}}{x \cosh{\left(x x^{e} \right)}}\right)}{x \log{\left(\cosh{\left(x x^{e} \right)} \right)}} + \frac{3 e x^{e} \left(1 - e\right) \left(1 + e\right) \sinh{\left(x x^{e} \right)}}{x^{2} \log{\left(\cosh{\left(x x^{e} \right)} \right)} \cosh{\left(x x^{e} \right)}} + \frac{e \left(- 3 e + 2 + e^{2}\right)}{x^{3}}\right) \log{\left(10 \right)}}{\log{\left(\cosh{\left(x x^{e} \right)} \right)}}$$