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 (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de (3+2x)/(x-5)
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Expresiones idénticas
- x*exp(-x)(sin(2x))^ tres *(tg(2x+ uno))^ tres
- x multiplicar por exponente de ( menos x)( seno de (2x)) al cubo multiplicar por (tg(2x más 1)) al cubo
- x multiplicar por exponente de ( menos x)( seno de (2x)) en el grado tres multiplicar por (tg(2x más uno)) en el grado tres
- x*exp(-x)(sin(2x))3*(tg(2x+1))3
- x*exp-xsin2x3*tg2x+13
- x*exp(-x)(sin(2x))³*(tg(2x+1))³
- x*exp(-x)(sin(2x)) en el grado 3*(tg(2x+1)) en el grado 3
- xexp(-x)(sin(2x))^3(tg(2x+1))^3
- xexp(-x)(sin(2x))3(tg(2x+1))3
- xexp-xsin2x3tg2x+13
- xexp-xsin2x^3tg2x+1^3
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Expresiones semejantes
- x*exp(x)(sin(2x))^3*(tg(2x+1))^3
- x*exp(-x)(sin(2x))^3*(tg(2x-1))^3
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Expresiones con funciones
- Seno sin
- sin(x)^4
- sin(x/3+3)+2*x
- sin(x)^sin(x)
- sin(x)/(1-x)
- sin(x^2+3)
Derivada de x*exp(-x)(sin(2x))^3*(tg(2x+1))^3
Solución
Ha introducido
[src]
-x 3 3 x*e *sin (2*x)*tan (2*x + 1)
$$x e^{- x} \sin^{3}{\left(2 x \right)} \tan^{3}{\left(2 x + 1 \right)}$$
((x*exp(-x))*sin(2*x)^3)*tan(2*x + 1)^3
Primera derivada
[src]
3 / 3 / -x -x\ 2 -x\ 3 2 / 2 \ -x tan (2*x + 1)*\sin (2*x)*\- x*e + e / + 6*x*sin (2*x)*cos(2*x)*e / + x*sin (2*x)*tan (2*x + 1)*\6 + 6*tan (2*x + 1)/*e
$$x \left(6 \tan^{2}{\left(2 x + 1 \right)} + 6\right) e^{- x} \sin^{3}{\left(2 x \right)} \tan^{2}{\left(2 x + 1 \right)} + \left(6 x e^{- x} \sin^{2}{\left(2 x \right)} \cos{\left(2 x \right)} + \left(- x e^{- x} + e^{- x}\right) \sin^{3}{\left(2 x \right)}\right) \tan^{3}{\left(2 x + 1 \right)}$$
Segunda derivada
[src]
/ 2 / 2 / 2 2 \ \ / 2 \ 2 / 2 \ / 2 \\ -x \- tan (1 + 2*x)*\- sin (2*x)*(-2 + x) + 12*x*\sin (2*x) - 2*cos (2*x)/ + 12*(-1 + x)*cos(2*x)*sin(2*x)/ + 12*\1 + tan (1 + 2*x)/*(-(-1 + x)*sin(2*x) + 6*x*cos(2*x))*sin(2*x)*tan(1 + 2*x) + 24*x*sin (2*x)*\1 + tan (1 + 2*x)/*\1 + 2*tan (1 + 2*x)//*e *sin(2*x)*tan(1 + 2*x)
$$\left(24 x \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \left(2 \tan^{2}{\left(2 x + 1 \right)} + 1\right) \sin^{2}{\left(2 x \right)} + 12 \left(6 x \cos{\left(2 x \right)} - \left(x - 1\right) \sin{\left(2 x \right)}\right) \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \sin{\left(2 x \right)} \tan{\left(2 x + 1 \right)} - \left(12 x \left(\sin^{2}{\left(2 x \right)} - 2 \cos^{2}{\left(2 x \right)}\right) - \left(x - 2\right) \sin^{2}{\left(2 x \right)} + 12 \left(x - 1\right) \sin{\left(2 x \right)} \cos{\left(2 x \right)}\right) \tan^{2}{\left(2 x + 1 \right)}\right) e^{- x} \sin{\left(2 x \right)} \tan{\left(2 x + 1 \right)}$$
Tercera derivada
[src]
/ / 2 \ \ | 3 / 3 / 2 2 \ 2 / 2 2 \ \ 2 / 2 \ / 2 / 2 2 \ \ 3 / 2 \ |/ 2 \ 4 2 / 2 \| 2 / 2 \ / 2 \ | -x \- tan (1 + 2*x)*\sin (2*x)*(-3 + x) - 36*(-1 + x)*\sin (2*x) - 2*cos (2*x)/*sin(2*x) - 18*sin (2*x)*(-2 + x)*cos(2*x) + 24*x*\- 2*cos (2*x) + 7*sin (2*x)/*cos(2*x)/ - 18*tan (1 + 2*x)*\1 + tan (1 + 2*x)/*\- sin (2*x)*(-2 + x) + 12*x*\sin (2*x) - 2*cos (2*x)/ + 12*(-1 + x)*cos(2*x)*sin(2*x)/*sin(2*x) + 48*x*sin (2*x)*\1 + tan (1 + 2*x)/*\\1 + tan (1 + 2*x)/ + 2*tan (1 + 2*x) + 7*tan (1 + 2*x)*\1 + tan (1 + 2*x)// + 72*sin (2*x)*\1 + tan (1 + 2*x)/*\1 + 2*tan (1 + 2*x)/*(-(-1 + x)*sin(2*x) + 6*x*cos(2*x))*tan(1 + 2*x)/*e
$$\left(48 x \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \left(\left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2} + 7 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \tan^{2}{\left(2 x + 1 \right)} + 2 \tan^{4}{\left(2 x + 1 \right)}\right) \sin^{3}{\left(2 x \right)} + 72 \left(6 x \cos{\left(2 x \right)} - \left(x - 1\right) \sin{\left(2 x \right)}\right) \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \left(2 \tan^{2}{\left(2 x + 1 \right)} + 1\right) \sin^{2}{\left(2 x \right)} \tan{\left(2 x + 1 \right)} - 18 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \left(12 x \left(\sin^{2}{\left(2 x \right)} - 2 \cos^{2}{\left(2 x \right)}\right) - \left(x - 2\right) \sin^{2}{\left(2 x \right)} + 12 \left(x - 1\right) \sin{\left(2 x \right)} \cos{\left(2 x \right)}\right) \sin{\left(2 x \right)} \tan^{2}{\left(2 x + 1 \right)} - \left(24 x \left(7 \sin^{2}{\left(2 x \right)} - 2 \cos^{2}{\left(2 x \right)}\right) \cos{\left(2 x \right)} + \left(x - 3\right) \sin^{3}{\left(2 x \right)} - 18 \left(x - 2\right) \sin^{2}{\left(2 x \right)} \cos{\left(2 x \right)} - 36 \left(x - 1\right) \left(\sin^{2}{\left(2 x \right)} - 2 \cos^{2}{\left(2 x \right)}\right) \sin{\left(2 x \right)}\right) \tan^{3}{\left(2 x + 1 \right)}\right) e^{- x}$$
Gráfico