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 -5*tan(2*t)-4*cot(4*t)
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Derivada de (3*sqrt(v)-2*v*e^v)/v
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Derivada de 3^(x*x)
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Derivada de 2*x-8/x
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Expresiones idénticas
- y= tres ^(arctg^ tres)x+ln^ tres (dos x^2)
- y es igual a 3 en el grado (arctg al cubo )x más ln al cubo (2x al cuadrado )
- y es igual a tres en el grado (arctg en el grado tres)x más ln en el grado tres (dos x al cuadrado )
- y=3(arctg3)x+ln3(2x2)
- y=3arctg3x+ln32x2
- y=3^(arctg³)x+ln³(2x²)
- y=3 en el grado (arctg en el grado 3)x+ln en el grado 3(2x en el grado 2)
- y=3^arctg^3x+ln^32x^2
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Expresiones semejantes
- y=3^(arctg^3)x-ln^3(2x^2)
Derivada de y=3^(arctg^3)x+ln^3(2x^2)
Solución
Ha introducido
[src]
3 atan (x) 3/ 2\ 3 *x + log \2*x /
$$3^{\operatorname{atan}^{3}{\left(x \right)}} x + \log{\left(2 x^{2} \right)}^{3}$$
3^(atan(x)^3)*x + log(2*x^2)^3
Primera derivada
[src]
3
3 2/ 2\ atan (x) 2
atan (x) 6*log \2*x / 3*x*3 *atan (x)*log(3)
3 + ------------ + -----------------------------
x 2
1 + x
$$\frac{3 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x \log{\left(3 \right)} \operatorname{atan}^{2}{\left(x \right)}}{x^{2} + 1} + 3^{\operatorname{atan}^{3}{\left(x \right)}} + \frac{6 \log{\left(2 x^{2} \right)}^{2}}{x}$$
Segunda derivada
[src]
/ 3 3 3 3 \ | 2/ 2\ / 2\ atan (x) 2 atan (x) 2 2 atan (x) atan (x) 4 2 | | 2*log \2*x / 8*log\2*x / 2*3 *atan (x)*log(3) 2*3 *x *atan (x)*log(3) 2*x*3 *atan(x)*log(3) 3*x*3 *atan (x)*log (3)| 3*|- ------------ + ----------- + --------------------------- - ------------------------------ + ---------------------------- + ------------------------------| | 2 2 2 2 2 2 | | x x 1 + x / 2\ / 2\ / 2\ | \ \1 + x / \1 + x / \1 + x / /
$$3 \left(- \frac{2 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x^{2} \log{\left(3 \right)} \operatorname{atan}^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{3 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x \log{\left(3 \right)}^{2} \operatorname{atan}^{4}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{2 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x \log{\left(3 \right)} \operatorname{atan}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{2 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} \log{\left(3 \right)} \operatorname{atan}^{2}{\left(x \right)}}{x^{2} + 1} - \frac{2 \log{\left(2 x^{2} \right)}^{2}}{x^{2}} + \frac{8 \log{\left(2 x^{2} \right)}}{x^{2}}\right)$$
Tercera derivada
[src]
/ 3 3 3 3 3 3 3 3 3 \ | / 2\ 2/ 2\ atan (x) atan (x) atan (x) 4 2 atan (x) 2 4 2 atan (x) 2 atan (x) 2 atan (x) 3 2 atan (x) 6 3 atan (x) 3 2 | |16 24*log\2*x / 4*log \2*x / 2*x*3 *log(3) 6*3 *atan(x)*log(3) 9*3 *atan (x)*log (3) 18*3 *x *atan (x)*log (3) 12*3 *x *atan(x)*log(3) 8*x*3 *atan (x)*log(3) 8*3 *x *atan (x)*log(3) 9*x*3 *atan (x)*log (3) 18*x*3 *atan (x)*log (3)| 3*|-- - ------------ + ------------ + -------------------- + -------------------------- + ---------------------------- - -------------------------------- - ------------------------------ - ----------------------------- + ------------------------------ + ------------------------------ + -------------------------------| | 3 3 3 3 2 2 3 3 2 3 3 3 | |x x x / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | \ \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / /
$$3 \left(\frac{8 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x^{3} \log{\left(3 \right)} \operatorname{atan}^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} - \frac{18 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x^{2} \log{\left(3 \right)}^{2} \operatorname{atan}^{4}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} - \frac{12 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x^{2} \log{\left(3 \right)} \operatorname{atan}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} - \frac{8 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x \log{\left(3 \right)} \operatorname{atan}^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{9 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x \log{\left(3 \right)}^{3} \operatorname{atan}^{6}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} + \frac{18 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x \log{\left(3 \right)}^{2} \operatorname{atan}^{3}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} + \frac{2 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} x \log{\left(3 \right)}}{\left(x^{2} + 1\right)^{3}} + \frac{9 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} \log{\left(3 \right)}^{2} \operatorname{atan}^{4}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{6 \cdot 3^{\operatorname{atan}^{3}{\left(x \right)}} \log{\left(3 \right)} \operatorname{atan}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{4 \log{\left(2 x^{2} \right)}^{2}}{x^{3}} - \frac{24 \log{\left(2 x^{2} \right)}}{x^{3}} + \frac{16}{x^{3}}\right)$$
Gráfico