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x*expcos^4(3x)*tg(4x+1)^2

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de i*n*x
  • Derivada de 3^-x Derivada de 3^-x
  • Derivada de y=6x Derivada de y=6x
  • Derivada de 25/x Derivada de 25/x

  • Expresiones idénticas

  • x*expcos^ cuatro (3x)*tg(4x+ uno)^ dos
  • x multiplicar por exponente de coseno de en el grado 4(3x) multiplicar por tg(4x más 1) al cuadrado
  • x multiplicar por exponente de coseno de en el grado cuatro (3x) multiplicar por tg(4x más uno) en el grado dos
  • x*expcos4(3x)*tg(4x+1)2
  • x*expcos43x*tg4x+12
  • x*expcos⁴(3x)*tg(4x+1)²
  • x*expcos en el grado 4(3x)*tg(4x+1) en el grado 2
  • xexpcos^4(3x)tg(4x+1)^2
  • xexpcos4(3x)tg(4x+1)2
  • xexpcos43xtg4x+12
  • xexpcos^43xtg4x+1^2

  • Expresiones semejantes

  • x*expcos^4(3x)*tg(4x-1)^2
Derivada de la función/ x*exp/ (4x+1)^2/ x*expcos^4(3x)*tg(4x+1)^2

Derivada de x*expcos^4(3x)*tg(4x+1)^2

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
             4              
  / cos(3*x)\     2         
x*\e        / *tan (4*x + 1)
x(ecos⁡(3x))4tan⁡2(4x+1)x \left(e^{\cos{\left(3 x \right)}}\right)^{4} \tan^{2}{\left(4 x + 1 \right)} 
(x*exp(cos(3*x))^4)*tan(4*x + 1)^2
Gráfica
02468-8-6-4-2-1010-5000000050000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
              /           4                            \                                                   
   2          |/ cos(3*x)\          4*cos(3*x)         |     /         2         \  4*cos(3*x)             
tan (4*x + 1)*\\e        /  - 12*x*e          *sin(3*x)/ + x*\8 + 8*tan (4*x + 1)/*e          *tan(4*x + 1)
x(8tan⁡2(4x+1)+8)e4cos⁡(3x)tan⁡(4x+1)+(−12xe4cos⁡(3x)sin⁡(3x)+(ecos⁡(3x))4)tan⁡2(4x+1)x \left(8 \tan^{2}{\left(4 x + 1 \right)} + 8\right) e^{4 \cos{\left(3 x \right)}} \tan{\left(4 x + 1 \right)} + \left(- 12 x e^{4 \cos{\left(3 x \right)}} \sin{\left(3 x \right)} + \left(e^{\cos{\left(3 x \right)}}\right)^{4}\right) \tan^{2}{\left(4 x + 1 \right)}
Simplificar
Segunda derivada [src] 
  /     2          /                  /                 2     \\     /       2         \                                         /       2         \ /         2         \\  4*cos(3*x)
4*\3*tan (1 + 4*x)*\-2*sin(3*x) + 3*x*\-cos(3*x) + 4*sin (3*x)// - 4*\1 + tan (1 + 4*x)/*(-1 + 12*x*sin(3*x))*tan(1 + 4*x) + 8*x*\1 + tan (1 + 4*x)/*\1 + 3*tan (1 + 4*x)//*e
4(8x(tan⁡2(4x+1)+1)(3tan⁡2(4x+1)+1)+3(3x(4sin⁡2(3x)−cos⁡(3x))−2sin⁡(3x))tan⁡2(4x+1)−4(12xsin⁡(3x)−1)(tan⁡2(4x+1)+1)tan⁡(4x+1))e4cos⁡(3x)4 \left(8 x \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(4 x + 1 \right)} + 1\right) + 3 \left(3 x \left(4 \sin^{2}{\left(3 x \right)} - \cos{\left(3 x \right)}\right) - 2 \sin{\left(3 x \right)}\right) \tan^{2}{\left(4 x + 1 \right)} - 4 \left(12 x \sin{\left(3 x \right)} - 1\right) \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \tan{\left(4 x + 1 \right)}\right) e^{4 \cos{\left(3 x \right)}}
Simplificar
Tercera derivada [src] 
  /      2          /                 2          /          2                   \         \      /       2         \ /         2         \                           /       2         \ /                  /                 2     \\                      /       2         \ /         2         \             \  4*cos(3*x)
4*\27*tan (1 + 4*x)*\-cos(3*x) + 4*sin (3*x) + x*\1 - 16*sin (3*x) + 12*cos(3*x)/*sin(3*x)/ - 24*\1 + tan (1 + 4*x)/*\1 + 3*tan (1 + 4*x)/*(-1 + 12*x*sin(3*x)) + 72*\1 + tan (1 + 4*x)/*\-2*sin(3*x) + 3*x*\-cos(3*x) + 4*sin (3*x)//*tan(1 + 4*x) + 128*x*\1 + tan (1 + 4*x)/*\2 + 3*tan (1 + 4*x)/*tan(1 + 4*x)/*e
4(128x(tan⁡2(4x+1)+1)(3tan⁡2(4x+1)+2)tan⁡(4x+1)+72(3x(4sin⁡2(3x)−cos⁡(3x))−2sin⁡(3x))(tan⁡2(4x+1)+1)tan⁡(4x+1)−24(12xsin⁡(3x)−1)(tan⁡2(4x+1)+1)(3tan⁡2(4x+1)+1)+27(x(−16sin⁡2(3x)+12cos⁡(3x)+1)sin⁡(3x)+4sin⁡2(3x)−cos⁡(3x))tan⁡2(4x+1))e4cos⁡(3x)4 \left(128 x \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(4 x + 1 \right)} + 2\right) \tan{\left(4 x + 1 \right)} + 72 \left(3 x \left(4 \sin^{2}{\left(3 x \right)} - \cos{\left(3 x \right)}\right) - 2 \sin{\left(3 x \right)}\right) \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \tan{\left(4 x + 1 \right)} - 24 \left(12 x \sin{\left(3 x \right)} - 1\right) \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(4 x + 1 \right)} + 1\right) + 27 \left(x \left(- 16 \sin^{2}{\left(3 x \right)} + 12 \cos{\left(3 x \right)} + 1\right) \sin{\left(3 x \right)} + 4 \sin^{2}{\left(3 x \right)} - \cos{\left(3 x \right)}\right) \tan^{2}{\left(4 x + 1 \right)}\right) e^{4 \cos{\left(3 x \right)}}
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Gráfico
Derivada de x*expcos^4(3x)*tg(4x+1)^2
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