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 x^(3*x)
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Derivada de -2x
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Derivada de x^3*sin(x)
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Derivada de (sqrt(x)-1)/sqrt(x^2-x-1)
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Expresiones idénticas
- y= cinco ^arcctg3x+x^ cuatro **sinx
- y es igual a 5 en el grado arcctg3x más x en el grado 4 multiplicar por multiplicar por seno de x
- y es igual a cinco en el grado arcctg3x más x en el grado cuatro multiplicar por multiplicar por seno de x
- y=5arcctg3x+x4**sinx
- y=5^arcctg3x+x⁴**sinx
- y=5^arcctg3x+x^4sinx
- y=5arcctg3x+x4sinx
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Expresiones semejantes
- y=5^arcctg3x-x^4**sinx
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Expresiones con funciones
- sinx
- sinx/(1-cosx)
- sinx*tgx
- sinxtanx
- sinx×cosx
- sinx(1+cosx)
Derivada de y=5^arcctg3x+x^4**sinx
Solución
Ha introducido
[src]
/ sin(x)\ acot(3*x) \4 / 5 + x
$$5^{\operatorname{acot}{\left(3 x \right)}} + x^{4^{\sin{\left(x \right)}}}$$
5^acot(3*x) + x^(4^sin(x))
Primera derivada
[src]
/ sin(x)\ / sin(x) \ acot(3*x)
\4 / |4 sin(x) | 3*5 *log(5)
x *|------- + 4 *cos(x)*log(4)*log(x)| - -------------------
\ x / 2
1 + 9*x
$$- \frac{3 \cdot 5^{\operatorname{acot}{\left(3 x \right)}} \log{\left(5 \right)}}{9 x^{2} + 1} + x^{4^{\sin{\left(x \right)}}} \left(4^{\sin{\left(x \right)}} \log{\left(4 \right)} \log{\left(x \right)} \cos{\left(x \right)} + \frac{4^{\sin{\left(x \right)}}}{x}\right)$$
Segunda derivada
[src]
/ sin(x)\ 2 / sin(x)\ acot(3*x) 2 acot(3*x)
2*sin(x) \4 / /1 \ sin(x) \4 / /1 2 2 2*cos(x)*log(4)\ 9*5 *log (5) 54*x*5 *log(5)
4 *x *|- + cos(x)*log(4)*log(x)| - 4 *x *|-- + log(4)*log(x)*sin(x) - cos (x)*log (4)*log(x) - ---------------| + -------------------- + ----------------------
\x / | 2 x | 2 2
\x / / 2\ / 2\
\1 + 9*x / \1 + 9*x /
$$4^{2 \sin{\left(x \right)}} x^{4^{\sin{\left(x \right)}}} \left(\log{\left(4 \right)} \log{\left(x \right)} \cos{\left(x \right)} + \frac{1}{x}\right)^{2} - 4^{\sin{\left(x \right)}} x^{4^{\sin{\left(x \right)}}} \left(\log{\left(4 \right)} \log{\left(x \right)} \sin{\left(x \right)} - \log{\left(4 \right)}^{2} \log{\left(x \right)} \cos^{2}{\left(x \right)} - \frac{2 \log{\left(4 \right)} \cos{\left(x \right)}}{x} + \frac{1}{x^{2}}\right) + \frac{54 \cdot 5^{\operatorname{acot}{\left(3 x \right)}} x \log{\left(5 \right)}}{\left(9 x^{2} + 1\right)^{2}} + \frac{9 \cdot 5^{\operatorname{acot}{\left(3 x \right)}} \log{\left(5 \right)}^{2}}{\left(9 x^{2} + 1\right)^{2}}$$
Tercera derivada
[src]
/ sin(x)\ 3 / sin(x)\ / 2 2 \ acot(3*x) 3 acot(3*x) acot(3*x) 2 acot(3*x) 2 / sin(x)\
3*sin(x) \4 / /1 \ sin(x) \4 / | 2 3 3 3*cos (x)*log (4) 3*log(4)*sin(x) 3*cos(x)*log(4) 2 | 27*5 *log (5) 54*5 *log(5) 1944*5 *x *log(5) 486*x*5 *log (5) 2*sin(x) \4 / /1 \ /1 2 2 2*cos(x)*log(4)\
4 *x *|- + cos(x)*log(4)*log(x)| - 4 *x *|- -- + cos(x)*log(4)*log(x) - cos (x)*log (4)*log(x) - ----------------- + --------------- + --------------- + 3*log (4)*cos(x)*log(x)*sin(x)| - --------------------- + -------------------- - ------------------------- - ------------------------ - 3*4 *x *|- + cos(x)*log(4)*log(x)|*|-- + log(4)*log(x)*sin(x) - cos (x)*log (4)*log(x) - ---------------|
\x / | 3 x x 2 | 3 2 3 3 \x / | 2 x |
\ x x / / 2\ / 2\ / 2\ / 2\ \x /
\1 + 9*x / \1 + 9*x / \1 + 9*x / \1 + 9*x /
$$4^{3 \sin{\left(x \right)}} x^{4^{\sin{\left(x \right)}}} \left(\log{\left(4 \right)} \log{\left(x \right)} \cos{\left(x \right)} + \frac{1}{x}\right)^{3} - 3 \cdot 4^{2 \sin{\left(x \right)}} x^{4^{\sin{\left(x \right)}}} \left(\log{\left(4 \right)} \log{\left(x \right)} \cos{\left(x \right)} + \frac{1}{x}\right) \left(\log{\left(4 \right)} \log{\left(x \right)} \sin{\left(x \right)} - \log{\left(4 \right)}^{2} \log{\left(x \right)} \cos^{2}{\left(x \right)} - \frac{2 \log{\left(4 \right)} \cos{\left(x \right)}}{x} + \frac{1}{x^{2}}\right) - 4^{\sin{\left(x \right)}} x^{4^{\sin{\left(x \right)}}} \left(3 \log{\left(4 \right)}^{2} \log{\left(x \right)} \sin{\left(x \right)} \cos{\left(x \right)} - \log{\left(4 \right)}^{3} \log{\left(x \right)} \cos^{3}{\left(x \right)} + \log{\left(4 \right)} \log{\left(x \right)} \cos{\left(x \right)} + \frac{3 \log{\left(4 \right)} \sin{\left(x \right)}}{x} - \frac{3 \log{\left(4 \right)}^{2} \cos^{2}{\left(x \right)}}{x} + \frac{3 \log{\left(4 \right)} \cos{\left(x \right)}}{x^{2}} - \frac{2}{x^{3}}\right) - \frac{1944 \cdot 5^{\operatorname{acot}{\left(3 x \right)}} x^{2} \log{\left(5 \right)}}{\left(9 x^{2} + 1\right)^{3}} - \frac{486 \cdot 5^{\operatorname{acot}{\left(3 x \right)}} x \log{\left(5 \right)}^{2}}{\left(9 x^{2} + 1\right)^{3}} + \frac{54 \cdot 5^{\operatorname{acot}{\left(3 x \right)}} \log{\left(5 \right)}}{\left(9 x^{2} + 1\right)^{2}} - \frac{27 \cdot 5^{\operatorname{acot}{\left(3 x \right)}} \log{\left(5 \right)}^{3}}{\left(9 x^{2} + 1\right)^{3}}$$
Gráfico