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y=tg^5(4x^3+6)*(2x^2-3x)

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de e^x*sin(x) Derivada de e^x*sin(x)
  • Derivada de 5^10 Derivada de 5^10
  • Derivada de 2*cos(3*x) Derivada de 2*cos(3*x)
  • Derivada de 1/t Derivada de 1/t

  • Expresiones idénticas

  • y=tg^ cinco (4x^ tres + seis)*(dos x^2-3x)
  • y es igual a tg en el grado 5(4x al cubo más 6) multiplicar por (2x al cuadrado menos 3x)
  • y es igual a tg en el grado cinco (4x en el grado tres más seis) multiplicar por (dos x al cuadrado menos 3x)
  • y=tg5(4x3+6)*(2x2-3x)
  • y=tg54x3+6*2x2-3x
  • y=tg⁵(4x³+6)*(2x²-3x)
  • y=tg en el grado 5(4x en el grado 3+6)*(2x en el grado 2-3x)
  • y=tg^5(4x^3+6)(2x^2-3x)
  • y=tg5(4x3+6)(2x2-3x)
  • y=tg54x3+62x2-3x
  • y=tg^54x^3+62x^2-3x

  • Expresiones semejantes

  • y=tg^5(4x^3-6)*(2x^2-3x)
  • y=tg^5(4x^3+6)*(2x^2+3x)
Derivada de la función/ x^2-3/ y=tg^5/ y=tg^5(4x^3+6)*(2x^2-3x)

Derivada de y=tg^5(4x^3+6)*(2x^2-3x)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   5/   3    \ /   2      \
tan \4*x  + 6/*\2*x  - 3*x/
(2x2−3x)tan⁡5(4x3+6)\left(2 x^{2} - 3 x\right) \tan^{5}{\left(4 x^{3} + 6 \right)} 
tan(4*x^3 + 6)^5*(2*x^2 - 3*x)
Gráfica
02468-8-6-4-2-1010-10e2910e29
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   5/   3    \                  2    4/   3    \ /       2/   3    \\ /   2      \
tan \4*x  + 6/*(-3 + 4*x) + 60*x *tan \4*x  + 6/*\1 + tan \4*x  + 6//*\2*x  - 3*x/
60x2(2x2−3x)(tan⁡2(4x3+6)+1)tan⁡4(4x3+6)+(4x−3)tan⁡5(4x3+6)60 x^{2} \left(2 x^{2} - 3 x\right) \left(\tan^{2}{\left(4 x^{3} + 6 \right)} + 1\right) \tan^{4}{\left(4 x^{3} + 6 \right)} + \left(4 x - 3\right) \tan^{5}{\left(4 x^{3} + 6 \right)}
Simplificar
Segunda derivada [src] 
     3/  /       3\\ /   2/  /       3\\       2 /       2/  /       3\\\            /    3    2/  /       3\\       3 /       2/  /       3\\\      /  /       3\\\       2 /       2/  /       3\\\               /  /       3\\\
4*tan \2*\3 + 2*x //*\tan \2*\3 + 2*x // + 30*x *\1 + tan \2*\3 + 2*x ///*(-3 + 2*x)*\12*x *tan \2*\3 + 2*x // + 24*x *\1 + tan \2*\3 + 2*x /// + tan\2*\3 + 2*x /// + 30*x *\1 + tan \2*\3 + 2*x ///*(-3 + 4*x)*tan\2*\3 + 2*x ///
4(30x2(2x−3)(tan⁡2(2(2x3+3))+1)(24x3(tan⁡2(2(2x3+3))+1)+12x3tan⁡2(2(2x3+3))+tan⁡(2(2x3+3)))+30x2(4x−3)(tan⁡2(2(2x3+3))+1)tan⁡(2(2x3+3))+tan⁡2(2(2x3+3)))tan⁡3(2(2x3+3))4 \left(30 x^{2} \left(2 x - 3\right) \left(\tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 1\right) \left(24 x^{3} \left(\tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 1\right) + 12 x^{3} \tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + \tan{\left(2 \left(2 x^{3} + 3\right) \right)}\right) + 30 x^{2} \left(4 x - 3\right) \left(\tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 1\right) \tan{\left(2 \left(2 x^{3} + 3\right) \right)} + \tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)}\right) \tan^{3}{\left(2 \left(2 x^{3} + 3\right) \right)}
Simplificar
Tercera derivada [src] 
                                                  /           /                                                                                                           2                                                                                                          \                                                                                                                                          \
         2/  /       3\\ /       2/  /       3\\\ |           |   2/  /       3\\       3    3/  /       3\\        6    4/  /       3\\        6 /       2/  /       3\\\         3 /       2/  /       3\\\    /  /       3\\         6    2/  /       3\\ /       2/  /       3\\\|          2/  /       3\\                /    3    2/  /       3\\       3 /       2/  /       3\\\      /  /       3\\\    /  /       3\\|
120*x*tan \2*\3 + 2*x //*\1 + tan \2*\3 + 2*x ///*\(-3 + 2*x)*\tan \2*\3 + 2*x // + 72*x *tan \2*\3 + 2*x // + 288*x *tan \2*\3 + 2*x // + 864*x *\1 + tan \2*\3 + 2*x ///  + 144*x *\1 + tan \2*\3 + 2*x ///*tan\2*\3 + 2*x // + 1872*x *tan \2*\3 + 2*x //*\1 + tan \2*\3 + 2*x //// + 6*x*tan \2*\3 + 2*x // + 3*(-3 + 4*x)*\12*x *tan \2*\3 + 2*x // + 24*x *\1 + tan \2*\3 + 2*x /// + tan\2*\3 + 2*x ///*tan\2*\3 + 2*x ///
120x(tan⁡2(2(2x3+3))+1)(6xtan⁡2(2(2x3+3))+(2x−3)(864x6(tan⁡2(2(2x3+3))+1)2+1872x6(tan⁡2(2(2x3+3))+1)tan⁡2(2(2x3+3))+288x6tan⁡4(2(2x3+3))+144x3(tan⁡2(2(2x3+3))+1)tan⁡(2(2x3+3))+72x3tan⁡3(2(2x3+3))+tan⁡2(2(2x3+3)))+3(4x−3)(24x3(tan⁡2(2(2x3+3))+1)+12x3tan⁡2(2(2x3+3))+tan⁡(2(2x3+3)))tan⁡(2(2x3+3)))tan⁡2(2(2x3+3))120 x \left(\tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 1\right) \left(6 x \tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + \left(2 x - 3\right) \left(864 x^{6} \left(\tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 1\right)^{2} + 1872 x^{6} \left(\tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 1\right) \tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 288 x^{6} \tan^{4}{\left(2 \left(2 x^{3} + 3\right) \right)} + 144 x^{3} \left(\tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 1\right) \tan{\left(2 \left(2 x^{3} + 3\right) \right)} + 72 x^{3} \tan^{3}{\left(2 \left(2 x^{3} + 3\right) \right)} + \tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)}\right) + 3 \left(4 x - 3\right) \left(24 x^{3} \left(\tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + 1\right) + 12 x^{3} \tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)} + \tan{\left(2 \left(2 x^{3} + 3\right) \right)}\right) \tan{\left(2 \left(2 x^{3} + 3\right) \right)}\right) \tan^{2}{\left(2 \left(2 x^{3} + 3\right) \right)}
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Gráfico
Derivada de y=tg^5(4x^3+6)*(2x^2-3x)
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