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 1/(x+3)
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Derivada de 4*y
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Derivada de (-1)/x-3*x
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Derivada de y=csc(3x²+1)
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Expresiones idénticas
- y=cos(sin^ cuatro (x^ dos -4x))
- y es igual a coseno de ( seno de en el grado 4(x al cuadrado menos 4x))
- y es igual a coseno de ( seno de en el grado cuatro (x en el grado dos menos 4x))
- y=cos(sin4(x2-4x))
- y=cossin4x2-4x
- y=cos(sin⁴(x²-4x))
- y=cos(sin en el grado 4(x en el grado 2-4x))
- y=cossin^4x^2-4x
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Expresiones semejantes
- y=cos(sin^4(x^2+4x))
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Expresiones con funciones
- Coseno cos
- cos(log(x))+x^2*tan(x)
- cos(-6x+7)
- cos(3*x)/3
- cos(2*x+pi/3)
- cos(2-3*x)
- Seno sin
- sin(x+π)
- sin(x)^(2)*2^x^2
- sin^n(x)
- sin(x)^(32)*cos(8*x)^5
- sin(7*x)^(2)
Derivada de y=cos(sin^4(x^2-4x))
Solución
Ha introducido
[src]
/ 4/ 2 \\ cos\sin \x - 4*x//
$$\cos{\left(\sin^{4}{\left(x^{2} - 4 x \right)} \right)}$$
cos(sin(x^2 - 4*x)^4)
Primera derivada
[src]
3/ 2 \ / 2 \ / 4/ 2 \\ -4*sin \x - 4*x/*(-4 + 2*x)*cos\x - 4*x/*sin\sin \x - 4*x//
$$- 4 \left(2 x - 4\right) \sin^{3}{\left(x^{2} - 4 x \right)} \sin{\left(\sin^{4}{\left(x^{2} - 4 x \right)} \right)} \cos{\left(x^{2} - 4 x \right)}$$
Segunda derivada
[src]
2 / / 4 \ 2 2 / 4 \ 2 2 / 4 \ 2 2 4 / 4 \\ 8*sin (x*(-4 + x))*\- cos(x*(-4 + x))*sin\sin (x*(-4 + x))/*sin(x*(-4 + x)) - 6*(-2 + x) *cos (x*(-4 + x))*sin\sin (x*(-4 + x))/ + 2*(-2 + x) *sin (x*(-4 + x))*sin\sin (x*(-4 + x))/ - 8*(-2 + x) *cos (x*(-4 + x))*sin (x*(-4 + x))*cos\sin (x*(-4 + x))//
$$8 \left(- 8 \left(x - 2\right)^{2} \sin^{4}{\left(x \left(x - 4\right) \right)} \cos^{2}{\left(x \left(x - 4\right) \right)} \cos{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} + 2 \left(x - 2\right)^{2} \sin^{2}{\left(x \left(x - 4\right) \right)} \sin{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} - 6 \left(x - 2\right)^{2} \sin{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} \cos^{2}{\left(x \left(x - 4\right) \right)} - \sin{\left(x \left(x - 4\right) \right)} \sin{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} \cos{\left(x \left(x - 4\right) \right)}\right) \sin^{2}{\left(x \left(x - 4\right) \right)}$$
Tercera derivada
[src]
/ 3 / 4 \ 2 3 / 4 \ 2 5 / 4 \ 2 / 4 \ 2 3 4 / 4 \ 2 2 / 4 \ 2 6 / 4 \ 2 3 8 / 4 \\ 16*(-2 + x)*\3*sin (x*(-4 + x))*sin\sin (x*(-4 + x))/ - 12*(-2 + x) *cos (x*(-4 + x))*sin\sin (x*(-4 + x))/ - 12*cos (x*(-4 + x))*sin (x*(-4 + x))*cos\sin (x*(-4 + x))/ - 9*cos (x*(-4 + x))*sin\sin (x*(-4 + x))/*sin(x*(-4 + x)) - 72*(-2 + x) *cos (x*(-4 + x))*sin (x*(-4 + x))*cos\sin (x*(-4 + x))/ + 20*(-2 + x) *sin (x*(-4 + x))*cos(x*(-4 + x))*sin\sin (x*(-4 + x))/ + 24*(-2 + x) *sin (x*(-4 + x))*cos\sin (x*(-4 + x))/*cos(x*(-4 + x)) + 32*(-2 + x) *cos (x*(-4 + x))*sin (x*(-4 + x))*sin\sin (x*(-4 + x))//*sin(x*(-4 + x))
$$16 \left(x - 2\right) \left(32 \left(x - 2\right)^{2} \sin^{8}{\left(x \left(x - 4\right) \right)} \sin{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} \cos^{3}{\left(x \left(x - 4\right) \right)} + 24 \left(x - 2\right)^{2} \sin^{6}{\left(x \left(x - 4\right) \right)} \cos{\left(x \left(x - 4\right) \right)} \cos{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} - 72 \left(x - 2\right)^{2} \sin^{4}{\left(x \left(x - 4\right) \right)} \cos^{3}{\left(x \left(x - 4\right) \right)} \cos{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} + 20 \left(x - 2\right)^{2} \sin^{2}{\left(x \left(x - 4\right) \right)} \sin{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} \cos{\left(x \left(x - 4\right) \right)} - 12 \left(x - 2\right)^{2} \sin{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} \cos^{3}{\left(x \left(x - 4\right) \right)} - 12 \sin^{5}{\left(x \left(x - 4\right) \right)} \cos^{2}{\left(x \left(x - 4\right) \right)} \cos{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} + 3 \sin^{3}{\left(x \left(x - 4\right) \right)} \sin{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} - 9 \sin{\left(x \left(x - 4\right) \right)} \sin{\left(\sin^{4}{\left(x \left(x - 4\right) \right)} \right)} \cos^{2}{\left(x \left(x - 4\right) \right)}\right) \sin{\left(x \left(x - 4\right) \right)}$$
Gráfico