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 (4+x^4)*atan(x^1+4/x)/x^3
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Derivada de 4/x-5*x
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Derivada de 5x^6-8x^2
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Derivada de 4/(x^2*sqrt(x))
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Expresiones idénticas
- y=arctg(lnx)+ln(arctgx)
- y es igual a arctg(lnx) más ln(arctgx)
- y=arctglnx+lnarctgx
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Expresiones semejantes
- y=arctg(lnx)-ln(arctgx)
- y=arctg(ln(x))+ln(arctg(x))
Derivada de y=arctg(lnx)+ln(arctgx)
Solución
Ha introducido
[src]
atan(log(x)) + log(acot(x))
$$\log{\left(\operatorname{acot}{\left(x \right)} \right)} + \operatorname{atan}{\left(\log{\left(x \right)} \right)}$$
atan(log(x)) + log(acot(x))
Primera derivada
[src]
1 1 --------------- - ---------------- / 2 \ / 2\ x*\1 + log (x)/ \1 + x /*acot(x)
$$- \frac{1}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + \frac{1}{x \left(\log{\left(x \right)}^{2} + 1\right)}$$
Segunda derivada
[src]
1 1 2*log(x) 2*x
- ---------------- - ------------------ - ----------------- + -----------------
2 / 2 \ 2 2 2
x *\1 + log (x)/ / 2\ 2 2 / 2 \ / 2\
\1 + x / *acot (x) x *\1 + log (x)/ \1 + x / *acot(x)
$$\frac{2 x}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} - \frac{1}{\left(x^{2} + 1\right)^{2} \operatorname{acot}^{2}{\left(x \right)}} - \frac{1}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)} - \frac{2 \log{\left(x \right)}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)^{2}}$$
Tercera derivada
[src]
/ 2 2 \ | 1 1 1 1 4*x 3*x 3*log(x) 4*log (x) | 2*|---------------- + ----------------- - ----------------- - ------------------ - ----------------- + ------------------ + ----------------- + -----------------| | 3 / 2 \ 2 2 3 3 3 2 3| |x *\1 + log (x)/ / 2\ 3 / 2 \ / 2\ 3 / 2\ / 2\ 2 3 / 2 \ 3 / 2 \ | \ \1 + x / *acot(x) x *\1 + log (x)/ \1 + x / *acot (x) \1 + x / *acot(x) \1 + x / *acot (x) x *\1 + log (x)/ x *\1 + log (x)/ /
$$2 \left(- \frac{4 x^{2}}{\left(x^{2} + 1\right)^{3} \operatorname{acot}{\left(x \right)}} + \frac{3 x}{\left(x^{2} + 1\right)^{3} \operatorname{acot}^{2}{\left(x \right)}} + \frac{1}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} - \frac{1}{\left(x^{2} + 1\right)^{3} \operatorname{acot}^{3}{\left(x \right)}} + \frac{1}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{3 \log{\left(x \right)}}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} - \frac{1}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} + \frac{4 \log{\left(x \right)}^{2}}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{3}}\right)$$
Gráfico