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 6/x
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Derivada de e^(x/2)
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Derivada de (x-1)/(x+1)
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Derivada de -3/x
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Expresiones idénticas
- y=cos^ cinco (x+ tres)xtg(4x+ uno)^ tres
- y es igual a coseno de en el grado 5(x más 3)xtg(4x más 1) al cubo
- y es igual a coseno de en el grado cinco (x más tres)xtg(4x más uno) en el grado tres
- y=cos5(x+3)xtg(4x+1)3
- y=cos5x+3xtg4x+13
- y=cos⁵(x+3)xtg(4x+1)³
- y=cos en el grado 5(x+3)xtg(4x+1) en el grado 3
- y=cos^5x+3xtg4x+1^3
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Expresiones semejantes
- y=cos^5(x-3)xtg(4x+1)^3
- y=cos^5(x+3)xtg(4x-1)^3
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Expresiones con funciones
- Coseno cos
- cos(x)/sin(x)
- cosx/1+sinx
- cos(3*x)^(2)
- cos(y^2)
- cos(x)/(1-sin(x))
- xtg
- xtgx+lncosx+x+e^(5x)
- xtgx+ctgx
- xtg(x)+ln(cos(x))
- xtgx/4
- xtgx+4
Derivada de y=cos^5(x+3)xtg(4x+1)^3
Solución
Ha introducido
[src]
5 3 cos (x + 3)*x*tan (4*x + 1)
$$x \cos^{5}{\left(x + 3 \right)} \tan^{3}{\left(4 x + 1 \right)}$$
(cos(x + 3)^5*x)*tan(4*x + 1)^3
Primera derivada
[src]
3 / 5 4 \ 5 2 / 2 \ tan (4*x + 1)*\cos (x + 3) - 5*x*cos (x + 3)*sin(x + 3)/ + x*cos (x + 3)*tan (4*x + 1)*\12 + 12*tan (4*x + 1)/
$$x \left(12 \tan^{2}{\left(4 x + 1 \right)} + 12\right) \cos^{5}{\left(x + 3 \right)} \tan^{2}{\left(4 x + 1 \right)} + \left(- 5 x \sin{\left(x + 3 \right)} \cos^{4}{\left(x + 3 \right)} + \cos^{5}{\left(x + 3 \right)}\right) \tan^{3}{\left(4 x + 1 \right)}$$
Segunda derivada
[src]
3 / 2 / / 2 2 \ \ / 2 \ 2 / 2 \ / 2 \\ cos (3 + x)*\5*tan (1 + 4*x)*\x*\- cos (3 + x) + 4*sin (3 + x)/ - 2*cos(3 + x)*sin(3 + x)/ - 24*\1 + tan (1 + 4*x)/*(-cos(3 + x) + 5*x*sin(3 + x))*cos(3 + x)*tan(1 + 4*x) + 96*x*cos (3 + x)*\1 + tan (1 + 4*x)/*\1 + 2*tan (1 + 4*x)//*tan(1 + 4*x)
$$\left(96 x \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(2 \tan^{2}{\left(4 x + 1 \right)} + 1\right) \cos^{2}{\left(x + 3 \right)} + 5 \left(x \left(4 \sin^{2}{\left(x + 3 \right)} - \cos^{2}{\left(x + 3 \right)}\right) - 2 \sin{\left(x + 3 \right)} \cos{\left(x + 3 \right)}\right) \tan^{2}{\left(4 x + 1 \right)} - 24 \left(5 x \sin{\left(x + 3 \right)} - \cos{\left(x + 3 \right)}\right) \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \cos{\left(x + 3 \right)} \tan{\left(4 x + 1 \right)}\right) \cos^{3}{\left(x + 3 \right)} \tan{\left(4 x + 1 \right)}$$
Tercera derivada
[src]
/ / 2 \ \ 2 | 3 / / 2 2 \ / 2 2 \ \ 2 / 2 \ / / 2 2 \ \ 3 / 2 \ |/ 2 \ 4 2 / 2 \| 2 / 2 \ / 2 \ | cos (3 + x)*\- 5*tan (1 + 4*x)*\- 3*\- cos (3 + x) + 4*sin (3 + x)/*cos(3 + x) + x*\- 13*cos (3 + x) + 12*sin (3 + x)/*sin(3 + x)/ + 180*tan (1 + 4*x)*\1 + tan (1 + 4*x)/*\x*\- cos (3 + x) + 4*sin (3 + x)/ - 2*cos(3 + x)*sin(3 + x)/*cos(3 + x) + 384*x*cos (3 + x)*\1 + tan (1 + 4*x)/*\\1 + tan (1 + 4*x)/ + 2*tan (1 + 4*x) + 7*tan (1 + 4*x)*\1 + tan (1 + 4*x)// - 288*cos (3 + x)*\1 + tan (1 + 4*x)/*\1 + 2*tan (1 + 4*x)/*(-cos(3 + x) + 5*x*sin(3 + x))*tan(1 + 4*x)/
$$\left(384 x \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(\left(\tan^{2}{\left(4 x + 1 \right)} + 1\right)^{2} + 7 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \tan^{2}{\left(4 x + 1 \right)} + 2 \tan^{4}{\left(4 x + 1 \right)}\right) \cos^{3}{\left(x + 3 \right)} + 180 \left(x \left(4 \sin^{2}{\left(x + 3 \right)} - \cos^{2}{\left(x + 3 \right)}\right) - 2 \sin{\left(x + 3 \right)} \cos{\left(x + 3 \right)}\right) \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \cos{\left(x + 3 \right)} \tan^{2}{\left(4 x + 1 \right)} - 288 \left(5 x \sin{\left(x + 3 \right)} - \cos{\left(x + 3 \right)}\right) \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(2 \tan^{2}{\left(4 x + 1 \right)} + 1\right) \cos^{2}{\left(x + 3 \right)} \tan{\left(4 x + 1 \right)} - 5 \left(x \left(12 \sin^{2}{\left(x + 3 \right)} - 13 \cos^{2}{\left(x + 3 \right)}\right) \sin{\left(x + 3 \right)} - 3 \left(4 \sin^{2}{\left(x + 3 \right)} - \cos^{2}{\left(x + 3 \right)}\right) \cos{\left(x + 3 \right)}\right) \tan^{3}{\left(4 x + 1 \right)}\right) \cos^{2}{\left(x + 3 \right)}$$
Gráfico