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 x^-7
- Derivada de i*n*x
-
Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
-
Derivada de y=-6/x
-
Expresiones idénticas
- y=(tgx)^(4e)^x
- y es igual a (tgx) en el grado (4e) en el grado x
- y=(tgx)(4e)x
- y=tgx4ex
- y=tgx^4e^x
Derivada de y=(tgx)^(4e)^x
Solución
Ha introducido
[src]
/ x\
\(4*E) /
(tan(x))
$$\tan^{\left(4 e\right)^{x}}{\left(x \right)}$$
tan(x)^((4*E)^x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ x\ / x / 2 \ \
\(4*E) / |(4*E) *\1 + tan (x)/ x |
(tan(x)) *|-------------------- + (4*E) *log(4*E)*log(tan(x))|
\ tan(x) /
$$\left(\frac{\left(4 e\right)^{x} \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \left(4 e\right)^{x} \log{\left(4 e \right)} \log{\left(\tan{\left(x \right)} \right)}\right) \tan^{\left(4 e\right)^{x}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
/ x\ | / 2 \ / 2 \ / 2 \ |
x \(4*E) / | 2 x |1 + tan (x) | 2 \1 + tan (x)/ 2*\1 + tan (x)/*log(4*E)|
(4*E) *(tan(x)) *|2 + 2*tan (x) + (4*E) *|----------- + log(4*E)*log(tan(x))| + log (4*E)*log(tan(x)) - -------------- + ------------------------|
| \ tan(x) / 2 tan(x) |
\ tan (x) /
$$\left(4 e\right)^{x} \left(\left(4 e\right)^{x} \left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + \log{\left(4 e \right)} \log{\left(\tan{\left(x \right)} \right)}\right)^{2} - \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 e \right)}}{\tan{\left(x \right)}} + \log{\left(4 e \right)}^{2} \log{\left(\tan{\left(x \right)} \right)} + 2 \tan^{2}{\left(x \right)} + 2\right) \tan^{\left(4 e\right)^{x}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 3 2 / 2 \ \
/ x\ | / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ | / 2 \ / 2 \ | 2 / 2 \|
x \(4*E) / | 2*x |1 + tan (x) | 3 4*\1 + tan (x)/ 2*\1 + tan (x)/ / 2 \ / 2 \ 3*\1 + tan (x)/ *log(4*E) x |1 + tan (x) | | 2 2 \1 + tan (x)/ 2*\1 + tan (x)/*log(4*E)| 3*log (4*E)*\1 + tan (x)/|
(4*E) *(tan(x)) *|(4*E) *|----------- + log(4*E)*log(tan(x))| + log (4*E)*log(tan(x)) - ---------------- + ---------------- + 4*\1 + tan (x)/*tan(x) + 6*\1 + tan (x)/*log(4*E) - ------------------------- + 3*(4*E) *|----------- + log(4*E)*log(tan(x))|*|2 + 2*tan (x) + log (4*E)*log(tan(x)) - -------------- + ------------------------| + -------------------------|
| \ tan(x) / tan(x) 3 2 \ tan(x) / | 2 tan(x) | tan(x) |
\ tan (x) tan (x) \ tan (x) / /
$$\left(4 e\right)^{x} \left(\left(4 e\right)^{2 x} \left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + \log{\left(4 e \right)} \log{\left(\tan{\left(x \right)} \right)}\right)^{3} + 3 \left(4 e\right)^{x} \left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + \log{\left(4 e \right)} \log{\left(\tan{\left(x \right)} \right)}\right) \left(- \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 e \right)}}{\tan{\left(x \right)}} + \log{\left(4 e \right)}^{2} \log{\left(\tan{\left(x \right)} \right)} + 2 \tan^{2}{\left(x \right)} + 2\right) + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)^{3}}{\tan^{3}{\left(x \right)}} - \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan{\left(x \right)}} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(4 e \right)}}{\tan^{2}{\left(x \right)}} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 e \right)} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 e \right)}^{2}}{\tan{\left(x \right)}} + \log{\left(4 e \right)}^{3} \log{\left(\tan{\left(x \right)} \right)}\right) \tan^{\left(4 e\right)^{x}}{\left(x \right)}$$
Gráfico