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:
-
Derivada de 6/x
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Derivada de e^(x/2)
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Derivada de (x-1)/(x+1)
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Derivada de -3/x
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Expresiones idénticas
- y=atan(secx+tanx)
- y es igual a arco tangente de gente de (secx más tangente de x)
- y=atansecx+tanx
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Expresiones semejantes
- y=atan(secx-tanx)
- y=arctan(secx+tanx)
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Expresiones con funciones
- Arcotangente arctan
- atan(x^2)
- atan(sqrt(x))
- atan(5*x)
- atan(x/4)
- atan(sqrt(x^2-1))
- secx
- secx/tanx
Derivada de y=atan(secx+tanx)
Solución
Ha introducido
[src]
atan(sec(x) + tan(x))
$$\operatorname{atan}{\left(\tan{\left(x \right)} + \sec{\left(x \right)} \right)}$$
atan(sec(x) + tan(x))
Primera derivada
[src]
2
1 + tan (x) + sec(x)*tan(x)
---------------------------
2
1 + (sec(x) + tan(x))
$$\frac{\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1}$$
Segunda derivada
[src]
2
/ 2 \
2 / 2 \ / 2 \ 2*\1 + tan (x) + sec(x)*tan(x)/ *(sec(x) + tan(x))
tan (x)*sec(x) + \1 + tan (x)/*sec(x) + 2*\1 + tan (x)/*tan(x) - --------------------------------------------------
2
1 + (sec(x) + tan(x))
-------------------------------------------------------------------------------------------------------------------
2
1 + (sec(x) + tan(x))
$$\frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \sec{\left(x \right)} + \tan^{2}{\left(x \right)} \sec{\left(x \right)} - \frac{2 \left(\tan{\left(x \right)} + \sec{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1\right)^{2}}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1}}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1}$$
Tercera derivada
[src]
3 3
2 / 2 \ 2 / 2 \ / 2 \ / 2 / 2 \ / 2 \ \
/ 2 \ 3 2*\1 + tan (x) + sec(x)*tan(x)/ 2 / 2 \ / 2 \ 8*(sec(x) + tan(x)) *\1 + tan (x) + sec(x)*tan(x)/ 6*(sec(x) + tan(x))*\1 + tan (x) + sec(x)*tan(x)/*\tan (x)*sec(x) + \1 + tan (x)/*sec(x) + 2*\1 + tan (x)/*tan(x)/
2*\1 + tan (x)/ + tan (x)*sec(x) - -------------------------------- + 4*tan (x)*\1 + tan (x)/ + 5*\1 + tan (x)/*sec(x)*tan(x) + --------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------
2 2 2
1 + (sec(x) + tan(x)) / 2\ 1 + (sec(x) + tan(x))
\1 + (sec(x) + tan(x)) /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
1 + (sec(x) + tan(x))
$$\frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 5 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \sec{\left(x \right)} + \tan^{3}{\left(x \right)} \sec{\left(x \right)} - \frac{6 \left(\tan{\left(x \right)} + \sec{\left(x \right)}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \sec{\left(x \right)} + \tan^{2}{\left(x \right)} \sec{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1\right)}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1} - \frac{2 \left(\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1\right)^{3}}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1} + \frac{8 \left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} \left(\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1\right)^{3}}{\left(\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1\right)^{2}}}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1}$$
Gráfico