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y=tg(arccos^5(3x^2))

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de e^3 Derivada de e^3
  • Derivada de x!
  • Derivada de e^x*x^3 Derivada de e^x*x^3
  • Derivada de e^x-e^-x Derivada de e^x-e^-x

  • Expresiones idénticas

  • y=tg(arccos^ cinco (3x^ dos))
  • y es igual a tg(arc coseno de en el grado 5(3x al cuadrado ))
  • y es igual a tg(arc coseno de en el grado cinco (3x en el grado dos))
  • y=tg(arccos5(3x2))
  • y=tgarccos53x2
  • y=tg(arccos⁵(3x²))
  • y=tg(arccos en el grado 5(3x en el grado 2))
  • y=tgarccos^53x^2

  • Expresiones con funciones

  • tg
  • tg^2(3x)
Derivada de la función/ arccos/ y=tg(arccos^5(3x^2))

Derivada de y=tg(arccos^5(3x^2))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   /    5/   2\\
tan\acos \3*x //
tan⁡(acos⁡5(3x2))\tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} 
tan(acos(3*x^2)^5)
Gráfica
02468-8-6-4-2-1010-5050
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
          4/   2\ /       2/    5/   2\\\
-30*x*acos \3*x /*\1 + tan \acos \3*x ///
-----------------------------------------
                 __________              
                /        4               
              \/  1 - 9*x
−30x(tan⁡2(acos⁡5(3x2))+1)acos⁡4(3x2)1−9x4- \frac{30 x \left(\tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} + 1\right) \operatorname{acos}^{4}{\left(3 x^{2} \right)}}{\sqrt{1 - 9 x^{4}}}
Simplificar
Segunda derivada [src] 
                                        /      /   2\          2         4     /   2\       2     5/   2\    /    5/   2\\\
        3/   2\ /       2/    5/   2\\\ |  acos\3*x /      24*x      18*x *acos\3*x /   60*x *acos \3*x /*tan\acos \3*x //|
-30*acos \3*x /*\1 + tan \acos \3*x ///*|------------- + --------- + ---------------- + ----------------------------------|
                                        |   __________           4              3/2                         4             |
                                        |  /        4    -1 + 9*x     /       4\                    -1 + 9*x              |
                                        \\/  1 - 9*x                  \1 - 9*x /                                          /
−30(tan⁡2(acos⁡5(3x2))+1)(18x4acos⁡(3x2)(1−9x4)32+60x2tan⁡(acos⁡5(3x2))acos⁡5(3x2)9x4−1+24x29x4−1+acos⁡(3x2)1−9x4)acos⁡3(3x2)- 30 \left(\tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} + 1\right) \left(\frac{18 x^{4} \operatorname{acos}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} + \frac{60 x^{2} \tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{5}{\left(3 x^{2} \right)}}{9 x^{4} - 1} + \frac{24 x^{2}}{9 x^{4} - 1} + \frac{\operatorname{acos}{\left(3 x^{2} \right)}}{\sqrt{1 - 9 x^{4}}}\right) \operatorname{acos}^{3}{\left(3 x^{2} \right)}
Simplificar
Tercera derivada [src] 
                                          /          2             /   2\       6     2/   2\          6/   2\    /    5/   2\\      2     2/   2\       4     /   2\        2     5/   2\    /    5/   2\\        2     10/   2\    2/    5/   2\\        2     10/   2\ /       2/    5/   2\\\        4     6/   2\    /    5/   2\\\
          2/   2\ /       2/    5/   2\\\ |      24*x        4*acos\3*x /   54*x *acos \3*x /   10*acos \3*x /*tan\acos \3*x //   5*x *acos \3*x /   72*x *acos\3*x /   240*x *acos \3*x /*tan\acos \3*x //   200*x *acos  \3*x /*tan \acos \3*x //   100*x *acos  \3*x /*\1 + tan \acos \3*x ///   180*x *acos \3*x /*tan\acos \3*x //|
540*x*acos \3*x /*\1 + tan \acos \3*x ///*|- ------------- - ------------ - ----------------- - ------------------------------- - ---------------- + ---------------- - ----------------------------------- - ------------------------------------- - ------------------------------------------- + -----------------------------------|
                                          |            3/2            4                 5/2                        4                         3/2                  2                          3/2                                    3/2                                        3/2                                         2           |
                                          |  /       4\       -1 + 9*x        /       4\                   -1 + 9*x                /       4\          /        4\                 /       4\                             /       4\                                 /       4\                                 /        4\            |
                                          \  \1 - 9*x /                       \1 - 9*x /                                           \1 - 9*x /          \-1 + 9*x /                 \1 - 9*x /                             \1 - 9*x /                                 \1 - 9*x /                                 \-1 + 9*x /            /
540x(tan⁡2(acos⁡5(3x2))+1)(−54x6acos⁡2(3x2)(1−9x4)52+180x4tan⁡(acos⁡5(3x2))acos⁡6(3x2)(9x4−1)2+72x4acos⁡(3x2)(9x4−1)2−100x2(tan⁡2(acos⁡5(3x2))+1)acos⁡10(3x2)(1−9x4)32−200x2tan⁡2(acos⁡5(3x2))acos⁡10(3x2)(1−9x4)32−240x2tan⁡(acos⁡5(3x2))acos⁡5(3x2)(1−9x4)32−5x2acos⁡2(3x2)(1−9x4)32−24x2(1−9x4)32−10tan⁡(acos⁡5(3x2))acos⁡6(3x2)9x4−1−4acos⁡(3x2)9x4−1)acos⁡2(3x2)540 x \left(\tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} + 1\right) \left(- \frac{54 x^{6} \operatorname{acos}^{2}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{5}{2}}} + \frac{180 x^{4} \tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{6}{\left(3 x^{2} \right)}}{\left(9 x^{4} - 1\right)^{2}} + \frac{72 x^{4} \operatorname{acos}{\left(3 x^{2} \right)}}{\left(9 x^{4} - 1\right)^{2}} - \frac{100 x^{2} \left(\tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} + 1\right) \operatorname{acos}^{10}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{200 x^{2} \tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{10}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{240 x^{2} \tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{5}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{5 x^{2} \operatorname{acos}^{2}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{24 x^{2}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{10 \tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{6}{\left(3 x^{2} \right)}}{9 x^{4} - 1} - \frac{4 \operatorname{acos}{\left(3 x^{2} \right)}}{9 x^{4} - 1}\right) \operatorname{acos}^{2}{\left(3 x^{2} \right)}
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Gráfico
Derivada de y=tg(arccos^5(3x^2))
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