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y=asin(sqrt5*x*tg^2x)

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de 4-x² Derivada de 4-x²
  • Derivada de 3^(1/x) Derivada de 3^(1/x)
  • Derivada de 2*x+8/x Derivada de 2*x+8/x
  • Derivada de y=7 Derivada de y=7

  • Expresiones idénticas

  • y=asin(sqrt5*x*tg^2x)
  • y es igual a ar coseno de eno de ( raíz cuadrada de 5 multiplicar por x multiplicar por tg al cuadrado x)
  • y=asin(√5*x*tg^2x)
  • y=asin(sqrt5*x*tg2x)
  • y=asinsqrt5*x*tg2x
  • y=asin(sqrt5*x*tg²x)
  • y=asin(sqrt5*x*tg en el grado 2x)
  • y=asin(sqrt5xtg^2x)
  • y=asin(sqrt5xtg2x)
  • y=asinsqrt5xtg2x
  • y=asinsqrt5xtg^2x

  • Expresiones semejantes

  • y=arcsin(sqrt5*x*tg^2x)
Derivada de la función/ tg^2x/ y=asin(sqrt5*x*tg^2x)

Derivada de y=asin(sqrt5*x*tg^2x)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
    /  ___      2   \
asin\\/ 5 *x*tan (x)/
asin⁡(5xtan⁡2(x))\operatorname{asin}{\left(\sqrt{5} x \tan^{2}{\left(x \right)} \right)} 
asin((sqrt(5)*x)*tan(x)^2)
Gráfica
02468-8-6-4-2-101020-10
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Trazar el gráfico f'(x)
Primera derivada [src] 
  ___    2          ___ /         2   \       
\/ 5 *tan (x) + x*\/ 5 *\2 + 2*tan (x)/*tan(x)
----------------------------------------------
               __________________             
              /        2    4                 
            \/  1 - 5*x *tan (x)
5x(2tan⁡2(x)+2)tan⁡(x)+5tan⁡2(x)−5x2tan⁡4(x)+1\frac{\sqrt{5} x \left(2 \tan^{2}{\left(x \right)} + 2\right) \tan{\left(x \right)} + \sqrt{5} \tan^{2}{\left(x \right)}}{\sqrt{- 5 x^{2} \tan^{4}{\left(x \right)} + 1}}
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Segunda derivada [src] 
      /                                                                                             2        \
      |                                                                 /    /       2   \         \     4   |
  ___ |  /       2   \ /             /       2   \          2   \   5*x*\2*x*\1 + tan (x)/ + tan(x)/ *tan (x)|
\/ 5 *|2*\1 + tan (x)/*\2*tan(x) + x*\1 + tan (x)/ + 2*x*tan (x)/ + -----------------------------------------|
      |                                                                                 2    4               |
      \                                                                          1 - 5*x *tan (x)            /
--------------------------------------------------------------------------------------------------------------
                                               __________________                                             
                                              /        2    4                                                 
                                            \/  1 - 5*x *tan (x)
5(5x(2x(tan⁡2(x)+1)+tan⁡(x))2tan⁡4(x)−5x2tan⁡4(x)+1+2(tan⁡2(x)+1)(x(tan⁡2(x)+1)+2xtan⁡2(x)+2tan⁡(x)))−5x2tan⁡4(x)+1\frac{\sqrt{5} \left(\frac{5 x \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)^{2} \tan^{4}{\left(x \right)}}{- 5 x^{2} \tan^{4}{\left(x \right)} + 1} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + 2 x \tan^{2}{\left(x \right)} + 2 \tan{\left(x \right)}\right)\right)}{\sqrt{- 5 x^{2} \tan^{4}{\left(x \right)} + 1}}
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Tercera derivada [src] 
      /                                                                                                                  /                            2                                                        \                                     3                                                                                                             \
      |                                                                                3    /    /       2   \         \ |   2         2 /       2   \       2    2    /       2   \       /       2   \       |       2 /    /       2   \         \     7              3    /       2   \ /    /       2   \         \ /             /       2   \          2   \|
  ___ |  /       2   \ /         2             3          /       2   \       \   5*tan (x)*\2*x*\1 + tan (x)/ + tan(x)/*\tan (x) + 6*x *\1 + tan (x)/  + 4*x *tan (x)*\1 + tan (x)/ + 8*x*\1 + tan (x)/*tan(x)/   75*x *\2*x*\1 + tan (x)/ + tan(x)/ *tan (x)   20*x*tan (x)*\1 + tan (x)/*\2*x*\1 + tan (x)/ + tan(x)/*\2*tan(x) + x*\1 + tan (x)/ + 2*x*tan (x)/|
\/ 5 *|2*\1 + tan (x)/*\3 + 9*tan (x) + 4*x*tan (x) + 8*x*\1 + tan (x)/*tan(x)/ + ------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------- + --------------------------------------------------------------------------------------------------|
      |                                                                                                                                         2    4                                                                                           2                                                               2    4                                            |
      |                                                                                                                                  1 - 5*x *tan (x)                                                                      /       2    4   \                                                         1 - 5*x *tan (x)                                         |
      \                                                                                                                                                                                                                        \1 - 5*x *tan (x)/                                                                                                                  /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                          __________________                                                                                                                                                                        
                                                                                                                                                                         /        2    4                                                                                                                                                                            
                                                                                                                                                                       \/  1 - 5*x *tan (x)
5(75x2(2x(tan⁡2(x)+1)+tan⁡(x))3tan⁡7(x)(−5x2tan⁡4(x)+1)2+20x(2x(tan⁡2(x)+1)+tan⁡(x))(tan⁡2(x)+1)(x(tan⁡2(x)+1)+2xtan⁡2(x)+2tan⁡(x))tan⁡3(x)−5x2tan⁡4(x)+1+5(2x(tan⁡2(x)+1)+tan⁡(x))(6x2(tan⁡2(x)+1)2+4x2(tan⁡2(x)+1)tan⁡2(x)+8x(tan⁡2(x)+1)tan⁡(x)+tan⁡2(x))tan⁡3(x)−5x2tan⁡4(x)+1+2(tan⁡2(x)+1)(8x(tan⁡2(x)+1)tan⁡(x)+4xtan⁡3(x)+9tan⁡2(x)+3))−5x2tan⁡4(x)+1\frac{\sqrt{5} \left(\frac{75 x^{2} \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)^{3} \tan^{7}{\left(x \right)}}{\left(- 5 x^{2} \tan^{4}{\left(x \right)} + 1\right)^{2}} + \frac{20 x \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + 2 x \tan^{2}{\left(x \right)} + 2 \tan{\left(x \right)}\right) \tan^{3}{\left(x \right)}}{- 5 x^{2} \tan^{4}{\left(x \right)} + 1} + \frac{5 \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(6 x^{2} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 x^{2} \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 8 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)}\right) \tan^{3}{\left(x \right)}}{- 5 x^{2} \tan^{4}{\left(x \right)} + 1} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(8 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 4 x \tan^{3}{\left(x \right)} + 9 \tan^{2}{\left(x \right)} + 3\right)\right)}{\sqrt{- 5 x^{2} \tan^{4}{\left(x \right)} + 1}}
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Gráfico
Derivada de y=asin(sqrt5*x*tg^2x)
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