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 2*cos(3*x)
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Derivada de x^(7/6)
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Derivada de (x^2)/4
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Derivada de t
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Expresiones idénticas
- y=cos3x*e^sinx+lnarctg2x
- y es igual a coseno de 3x multiplicar por e en el grado seno de x más lnarctg2x
- y=cos3x*esinx+lnarctg2x
- y=cos3xe^sinx+lnarctg2x
- y=cos3xesinx+lnarctg2x
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Expresiones semejantes
- y=cos3x*e^sinx-lnarctg2x
Derivada de y=cos3x*e^sinx+lnarctg2x
Solución
Ha introducido
[src]
sin(x) cos(3*x)*E + log(atan(2*x))
$$e^{\sin{\left(x \right)}} \cos{\left(3 x \right)} + \log{\left(\operatorname{atan}{\left(2 x \right)} \right)}$$
cos(3*x)*E^sin(x) + log(atan(2*x))
Primera derivada
[src]
sin(x) 2 sin(x)
- 3*e *sin(3*x) + -------------------- + cos(x)*cos(3*x)*e
/ 2\
\1 + 4*x /*atan(2*x)
$$- 3 e^{\sin{\left(x \right)}} \sin{\left(3 x \right)} + e^{\sin{\left(x \right)}} \cos{\left(x \right)} \cos{\left(3 x \right)} + \frac{2}{\left(4 x^{2} + 1\right) \operatorname{atan}{\left(2 x \right)}}$$
Segunda derivada
[src]
sin(x) 4 2 sin(x) sin(x) 16*x sin(x)
- 9*cos(3*x)*e - ---------------------- + cos (x)*cos(3*x)*e - cos(3*x)*e *sin(x) - --------------------- - 6*cos(x)*e *sin(3*x)
2 2
/ 2\ 2 / 2\
\1 + 4*x / *atan (2*x) \1 + 4*x / *atan(2*x)
$$- \frac{16 x}{\left(4 x^{2} + 1\right)^{2} \operatorname{atan}{\left(2 x \right)}} - e^{\sin{\left(x \right)}} \sin{\left(x \right)} \cos{\left(3 x \right)} - 6 e^{\sin{\left(x \right)}} \sin{\left(3 x \right)} \cos{\left(x \right)} + e^{\sin{\left(x \right)}} \cos^{2}{\left(x \right)} \cos{\left(3 x \right)} - 9 e^{\sin{\left(x \right)}} \cos{\left(3 x \right)} - \frac{4}{\left(4 x^{2} + 1\right)^{2} \operatorname{atan}^{2}{\left(2 x \right)}}$$
Tercera derivada
[src]
2
16 16 sin(x) 3 sin(x) sin(x) 2 sin(x) sin(x) 96*x 256*x sin(x)
- --------------------- + ---------------------- + 27*e *sin(3*x) + cos (x)*cos(3*x)*e - 28*cos(x)*cos(3*x)*e - 9*cos (x)*e *sin(3*x) + 9*e *sin(x)*sin(3*x) + ---------------------- + --------------------- - 3*cos(x)*cos(3*x)*e *sin(x)
2 3 3 3
/ 2\ / 2\ 3 / 2\ 2 / 2\
\1 + 4*x / *atan(2*x) \1 + 4*x / *atan (2*x) \1 + 4*x / *atan (2*x) \1 + 4*x / *atan(2*x)
$$\frac{256 x^{2}}{\left(4 x^{2} + 1\right)^{3} \operatorname{atan}{\left(2 x \right)}} + \frac{96 x}{\left(4 x^{2} + 1\right)^{3} \operatorname{atan}^{2}{\left(2 x \right)}} + 9 e^{\sin{\left(x \right)}} \sin{\left(x \right)} \sin{\left(3 x \right)} - 3 e^{\sin{\left(x \right)}} \sin{\left(x \right)} \cos{\left(x \right)} \cos{\left(3 x \right)} - 9 e^{\sin{\left(x \right)}} \sin{\left(3 x \right)} \cos^{2}{\left(x \right)} + 27 e^{\sin{\left(x \right)}} \sin{\left(3 x \right)} + e^{\sin{\left(x \right)}} \cos^{3}{\left(x \right)} \cos{\left(3 x \right)} - 28 e^{\sin{\left(x \right)}} \cos{\left(x \right)} \cos{\left(3 x \right)} - \frac{16}{\left(4 x^{2} + 1\right)^{2} \operatorname{atan}{\left(2 x \right)}} + \frac{16}{\left(4 x^{2} + 1\right)^{3} \operatorname{atan}^{3}{\left(2 x \right)}}$$
Gráfico