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 (3*sqrt(v)-2*v*e^v)/v
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Derivada de ((1-x^2)^(1/2)-x)/((1-x^2)^(1/2)+x)
- Derivada de 2^3^x
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Derivada de (1+4x^2)^3
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Expresiones idénticas
- x*tg(x*x+ uno)*ln(x+ uno)
- x multiplicar por tg(x multiplicar por x más 1) multiplicar por ln(x más 1)
- x multiplicar por tg(x multiplicar por x más uno) multiplicar por ln(x más uno)
- xtg(xx+1)ln(x+1)
- xtgxx+1lnx+1
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Expresiones semejantes
- x*tg(x*x+1)*ln(x-1)
- x*tg(x*x-1)*ln(x+1)
Derivada de x*tg(x*x+1)*ln(x+1)
Solución
Ha introducido
[src]
x*tan(x*x + 1)*log(x + 1)
$$x \tan{\left(x x + 1 \right)} \log{\left(x + 1 \right)}$$
(x*tan(x*x + 1))*log(x + 1)
Primera derivada
[src]
/ 2 / 2 \ \ x*tan(x*x + 1)
\2*x *\1 + tan (x*x + 1)/ + tan(x*x + 1)/*log(x + 1) + --------------
x + 1
$$\frac{x \tan{\left(x x + 1 \right)}}{x + 1} + \left(2 x^{2} \left(\tan^{2}{\left(x x + 1 \right)} + 1\right) + \tan{\left(x x + 1 \right)}\right) \log{\left(x + 1 \right)}$$
Segunda derivada
[src]
/ 2 / 2/ 2\\ / 2\\ / 2\
2*\2*x *\1 + tan \1 + x // + tan\1 + x // x*tan\1 + x / / 2/ 2\ 2 / 2/ 2\\ / 2\\
----------------------------------------- - ------------- + 2*x*\3 + 3*tan \1 + x / + 4*x *\1 + tan \1 + x //*tan\1 + x //*log(1 + x)
1 + x 2
(1 + x)
$$2 x \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \tan{\left(x^{2} + 1 \right)} + 3 \tan^{2}{\left(x^{2} + 1 \right)} + 3\right) \log{\left(x + 1 \right)} - \frac{x \tan{\left(x^{2} + 1 \right)}}{\left(x + 1\right)^{2}} + \frac{2 \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + \tan{\left(x^{2} + 1 \right)}\right)}{x + 1}$$
Tercera derivada
[src]
/ 2 / 2/ 2\\ / 2\\ / 2\ / 2/ 2\ 2 / 2/ 2\\ / 2\\
3*\2*x *\1 + tan \1 + x // + tan\1 + x // / 2/ 2\ 2 / 2/ 2\\ / / 2\ 2 / 2/ 2\\ 2 2/ 2\\ 2 / 2/ 2\\ / 2\\ 2*x*tan\1 + x / 6*x*\3 + 3*tan \1 + x / + 4*x *\1 + tan \1 + x //*tan\1 + x //
- ----------------------------------------- + 2*\3 + 3*tan \1 + x / + 4*x *\1 + tan \1 + x //*\3*tan\1 + x / + 2*x *\1 + tan \1 + x // + 4*x *tan \1 + x // + 12*x *\1 + tan \1 + x //*tan\1 + x //*log(1 + x) + --------------- + --------------------------------------------------------------
2 3 1 + x
(1 + x) (1 + x)
$$\frac{6 x \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \tan{\left(x^{2} + 1 \right)} + 3 \tan^{2}{\left(x^{2} + 1 \right)} + 3\right)}{x + 1} + \frac{2 x \tan{\left(x^{2} + 1 \right)}}{\left(x + 1\right)^{3}} + 2 \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + 4 x^{2} \tan^{2}{\left(x^{2} + 1 \right)} + 3 \tan{\left(x^{2} + 1 \right)}\right) + 12 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \tan{\left(x^{2} + 1 \right)} + 3 \tan^{2}{\left(x^{2} + 1 \right)} + 3\right) \log{\left(x + 1 \right)} - \frac{3 \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + \tan{\left(x^{2} + 1 \right)}\right)}{\left(x + 1\right)^{2}}$$
3-я производная
[src]
/ 2 / 2/ 2\\ / 2\\ / 2\ / 2/ 2\ 2 / 2/ 2\\ / 2\\
3*\2*x *\1 + tan \1 + x // + tan\1 + x // / 2/ 2\ 2 / 2/ 2\\ / / 2\ 2 / 2/ 2\\ 2 2/ 2\\ 2 / 2/ 2\\ / 2\\ 2*x*tan\1 + x / 6*x*\3 + 3*tan \1 + x / + 4*x *\1 + tan \1 + x //*tan\1 + x //
- ----------------------------------------- + 2*\3 + 3*tan \1 + x / + 4*x *\1 + tan \1 + x //*\3*tan\1 + x / + 2*x *\1 + tan \1 + x // + 4*x *tan \1 + x // + 12*x *\1 + tan \1 + x //*tan\1 + x //*log(1 + x) + --------------- + --------------------------------------------------------------
2 3 1 + x
(1 + x) (1 + x)
$$\frac{6 x \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \tan{\left(x^{2} + 1 \right)} + 3 \tan^{2}{\left(x^{2} + 1 \right)} + 3\right)}{x + 1} + \frac{2 x \tan{\left(x^{2} + 1 \right)}}{\left(x + 1\right)^{3}} + 2 \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + 4 x^{2} \tan^{2}{\left(x^{2} + 1 \right)} + 3 \tan{\left(x^{2} + 1 \right)}\right) + 12 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \tan{\left(x^{2} + 1 \right)} + 3 \tan^{2}{\left(x^{2} + 1 \right)} + 3\right) \log{\left(x + 1 \right)} - \frac{3 \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + \tan{\left(x^{2} + 1 \right)}\right)}{\left(x + 1\right)^{2}}$$
Gráfico