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y=tg^4(3x)*arcsin(2x^2)

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7) Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
  • Derivada de x/a
  • Derivada de 1/x^(1/2) Derivada de 1/x^(1/2)
  • Derivada de x^-(4/5) Derivada de x^-(4/5)

  • Expresiones idénticas

  • y=tg^ cuatro (3x)*arcsin(dos x^2)
  • y es igual a tg en el grado 4(3x) multiplicar por arc seno de (2x al cuadrado )
  • y es igual a tg en el grado cuatro (3x) multiplicar por arc seno de (dos x al cuadrado )
  • y=tg4(3x)*arcsin(2x2)
  • y=tg43x*arcsin2x2
  • y=tg⁴(3x)*arcsin(2x²)
  • y=tg en el grado 4(3x)*arcsin(2x en el grado 2)
  • y=tg^4(3x)arcsin(2x^2)
  • y=tg4(3x)arcsin(2x2)
  • y=tg43xarcsin2x2
  • y=tg^43xarcsin2x^2
Derivada de la función/ y=tg^4/ arcsin/ y=tg^4(3x)*arcsin(2x^2)

Derivada de y=tg^4(3x)*arcsin(2x^2)

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

Gráfico:

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Solución

Ha introducido [src] 
   4          /   2\
tan (3*x)*asin\2*x /
tan⁡4(3x)asin⁡(2x2)\tan^{4}{\left(3 x \right)} \operatorname{asin}{\left(2 x^{2} \right)} 
tan(3*x)^4*asin(2*x^2)
Gráfica
02468-8-6-4-2-1010-2500000025000000
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Primera derivada [src] 
                                                  4     
   3      /           2     \     /   2\   4*x*tan (3*x)
tan (3*x)*\12 + 12*tan (3*x)/*asin\2*x / + -------------
                                              __________
                                             /        4 
                                           \/  1 - 4*x
4xtan⁡4(3x)1−4x4+(12tan⁡2(3x)+12)tan⁡3(3x)asin⁡(2x2)\frac{4 x \tan^{4}{\left(3 x \right)}}{\sqrt{1 - 4 x^{4}}} + \left(12 \tan^{2}{\left(3 x \right)} + 12\right) \tan^{3}{\left(3 x \right)} \operatorname{asin}{\left(2 x^{2} \right)}
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Segunda derivada [src] 
            /            /           4  \                                                                                 \
            |     2      |        8*x   |                                                                                 |
            |  tan (3*x)*|-1 + ---------|                                                                                 |
            |            |             4|                                                         /       2     \         |
     2      |            \     -1 + 4*x /     /       2     \ /         2     \     /   2\   24*x*\1 + tan (3*x)/*tan(3*x)|
4*tan (3*x)*|- -------------------------- + 9*\1 + tan (3*x)/*\3 + 5*tan (3*x)/*asin\2*x / + -----------------------------|
            |           __________                                                                      __________        |
            |          /        4                                                                      /        4         |
            \        \/  1 - 4*x                                                                     \/  1 - 4*x          /
4(24x(tan⁡2(3x)+1)tan⁡(3x)1−4x4+9(tan⁡2(3x)+1)(5tan⁡2(3x)+3)asin⁡(2x2)−(8x44x4−1−1)tan⁡2(3x)1−4x4)tan⁡2(3x)4 \left(\frac{24 x \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan{\left(3 x \right)}}{\sqrt{1 - 4 x^{4}}} + 9 \left(\tan^{2}{\left(3 x \right)} + 1\right) \left(5 \tan^{2}{\left(3 x \right)} + 3\right) \operatorname{asin}{\left(2 x^{2} \right)} - \frac{\left(\frac{8 x^{4}}{4 x^{4} - 1} - 1\right) \tan^{2}{\left(3 x \right)}}{\sqrt{1 - 4 x^{4}}}\right) \tan^{2}{\left(3 x \right)}
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Tercera derivada [src] 
  /                                                                                                                               /           4  \                  /           4  \                                                  \         
  |                                                                                                        2      /       2     \ |        8*x   |      3    3      |       24*x   |                                                  |         
  |                                                                                                  18*tan (3*x)*\1 + tan (3*x)/*|-1 + ---------|   4*x *tan (3*x)*|-5 + ---------|                                                  |         
  |                   /                               2                               \                                           |             4|                  |             4|        /       2     \ /         2     \         |         
  |   /       2     \ |     4          /       2     \          2      /       2     \|     /   2\                                \     -1 + 4*x /                  \     -1 + 4*x /   54*x*\1 + tan (3*x)/*\3 + 5*tan (3*x)/*tan(3*x)|         
8*|27*\1 + tan (3*x)/*\2*tan (3*x) + 3*\1 + tan (3*x)/  + 10*tan (3*x)*\1 + tan (3*x)//*asin\2*x / - --------------------------------------------- - ------------------------------- + -----------------------------------------------|*tan(3*x)
  |                                                                                                                     __________                                      3/2                                __________                 |         
  |                                                                                                                    /        4                             /       4\                                  /        4                  |         
  \                                                                                                                  \/  1 - 4*x                              \1 - 4*x /                                \/  1 - 4*x                   /
8(−4x3(24x44x4−1−5)tan⁡3(3x)(1−4x4)32+54x(tan⁡2(3x)+1)(5tan⁡2(3x)+3)tan⁡(3x)1−4x4+27(tan⁡2(3x)+1)(3(tan⁡2(3x)+1)2+10(tan⁡2(3x)+1)tan⁡2(3x)+2tan⁡4(3x))asin⁡(2x2)−18(8x44x4−1−1)(tan⁡2(3x)+1)tan⁡2(3x)1−4x4)tan⁡(3x)8 \left(- \frac{4 x^{3} \left(\frac{24 x^{4}}{4 x^{4} - 1} - 5\right) \tan^{3}{\left(3 x \right)}}{\left(1 - 4 x^{4}\right)^{\frac{3}{2}}} + \frac{54 x \left(\tan^{2}{\left(3 x \right)} + 1\right) \left(5 \tan^{2}{\left(3 x \right)} + 3\right) \tan{\left(3 x \right)}}{\sqrt{1 - 4 x^{4}}} + 27 \left(\tan^{2}{\left(3 x \right)} + 1\right) \left(3 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} + 10 \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan^{2}{\left(3 x \right)} + 2 \tan^{4}{\left(3 x \right)}\right) \operatorname{asin}{\left(2 x^{2} \right)} - \frac{18 \left(\frac{8 x^{4}}{4 x^{4} - 1} - 1\right) \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan^{2}{\left(3 x \right)}}{\sqrt{1 - 4 x^{4}}}\right) \tan{\left(3 x \right)}
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Gráfico
Derivada de y=tg^4(3x)*arcsin(2x^2)
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