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y=(arctg(7*x+9))/(8*x^2-5)

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de i*n*sin(x)
  • Derivada de i*n*x
  • Derivada de 3^-x Derivada de 3^-x
  • Derivada de y=6x Derivada de y=6x

  • Expresiones idénticas

  • y=(arctg(siete *x+ nueve))/(ocho *x^ dos - cinco)
  • y es igual a (arctg(7 multiplicar por x más 9)) dividir por (8 multiplicar por x al cuadrado menos 5)
  • y es igual a (arctg(siete multiplicar por x más nueve)) dividir por (ocho multiplicar por x en el grado dos menos cinco)
  • y=(arctg(7*x+9))/(8*x2-5)
  • y=arctg7*x+9/8*x2-5
  • y=(arctg(7*x+9))/(8*x²-5)
  • y=(arctg(7*x+9))/(8*x en el grado 2-5)
  • y=(arctg(7x+9))/(8x^2-5)
  • y=(arctg(7x+9))/(8x2-5)
  • y=arctg7x+9/8x2-5
  • y=arctg7x+9/8x^2-5
  • y=(arctg(7*x+9)) dividir por (8*x^2-5)

  • Expresiones semejantes

  • y=(arctg(7*x+9))/(8*x^2+5)
  • y=(arctg(7*x-9))/(8*x^2-5)
Derivada de la función/ x^2-5/ arctg/ 8*x^2/ y=(arctg(7*x+9))/(8*x^2-5)

Derivada de y=(arctg(7*x+9))/(8*x^2-5)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
atan(7*x + 9)
-------------
      2      
   8*x  - 5
atan⁡(7x+9)8x2−5\frac{\operatorname{atan}{\left(7 x + 9 \right)}}{8 x^{2} - 5} 
atan(7*x + 9)/(8*x^2 - 5)
Gráfica
02468-8-6-4-2-1010-5050
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Primera derivada [src] 
             7                16*x*atan(7*x + 9)
--------------------------- - ------------------
/             2\ /   2    \                2    
\1 + (7*x + 9) /*\8*x  - 5/      /   2    \     
                                 \8*x  - 5/
−16xatan⁡(7x+9)(8x2−5)2+7(8x2−5)((7x+9)2+1)- \frac{16 x \operatorname{atan}{\left(7 x + 9 \right)}}{\left(8 x^{2} - 5\right)^{2}} + \frac{7}{\left(8 x^{2} - 5\right) \left(\left(7 x + 9\right)^{2} + 1\right)}
Simplificar
Segunda derivada [src] 
  /                                                       /           2  \              \
  |                                                       |       32*x   |              |
  |                                                     8*|-1 + ---------|*atan(9 + 7*x)|
  |                                                       |             2|              |
  |     49*(9 + 7*x)                112*x                 \     -5 + 8*x /              |
2*|- ----------------- - ---------------------------- + --------------------------------|
  |                  2   /             2\ /        2\                      2            |
  |  /             2\    \1 + (9 + 7*x) /*\-5 + 8*x /              -5 + 8*x             |
  \  \1 + (9 + 7*x) /                                                                   /
-----------------------------------------------------------------------------------------
                                                2                                        
                                        -5 + 8*x
2(−112x(8x2−5)((7x+9)2+1)−49(7x+9)((7x+9)2+1)2+8(32x28x2−5−1)atan⁡(7x+9)8x2−5)8x2−5\frac{2 \left(- \frac{112 x}{\left(8 x^{2} - 5\right) \left(\left(7 x + 9\right)^{2} + 1\right)} - \frac{49 \left(7 x + 9\right)}{\left(\left(7 x + 9\right)^{2} + 1\right)^{2}} + \frac{8 \left(\frac{32 x^{2}}{8 x^{2} - 5} - 1\right) \operatorname{atan}{\left(7 x + 9 \right)}}{8 x^{2} - 5}\right)}{8 x^{2} - 5}
Simplificar
Tercera derivada [src] 
  /    /                 2 \           /           2  \             /           2  \                                              \
  |    |      4*(9 + 7*x)  |           |       32*x   |             |       16*x   |                                              |
  |343*|-1 + --------------|       168*|-1 + ---------|       768*x*|-1 + ---------|*atan(9 + 7*x)                                |
  |    |                  2|           |             2|             |             2|                                              |
  |    \     1 + (9 + 7*x) /           \     -5 + 8*x /             \     -5 + 8*x /                        2352*x*(9 + 7*x)      |
2*|------------------------- + ---------------------------- - ------------------------------------ + -----------------------------|
  |                    2       /             2\ /        2\                          2                               2            |
  |    /             2\        \1 + (9 + 7*x) /*\-5 + 8*x /               /        2\                /             2\  /        2\|
  \    \1 + (9 + 7*x) /                                                   \-5 + 8*x /                \1 + (9 + 7*x) / *\-5 + 8*x //
-----------------------------------------------------------------------------------------------------------------------------------
                                                                     2                                                             
                                                             -5 + 8*x
2(2352x(7x+9)(8x2−5)((7x+9)2+1)2−768x(16x28x2−5−1)atan⁡(7x+9)(8x2−5)2+343(4(7x+9)2(7x+9)2+1−1)((7x+9)2+1)2+168(32x28x2−5−1)(8x2−5)((7x+9)2+1))8x2−5\frac{2 \left(\frac{2352 x \left(7 x + 9\right)}{\left(8 x^{2} - 5\right) \left(\left(7 x + 9\right)^{2} + 1\right)^{2}} - \frac{768 x \left(\frac{16 x^{2}}{8 x^{2} - 5} - 1\right) \operatorname{atan}{\left(7 x + 9 \right)}}{\left(8 x^{2} - 5\right)^{2}} + \frac{343 \left(\frac{4 \left(7 x + 9\right)^{2}}{\left(7 x + 9\right)^{2} + 1} - 1\right)}{\left(\left(7 x + 9\right)^{2} + 1\right)^{2}} + \frac{168 \left(\frac{32 x^{2}}{8 x^{2} - 5} - 1\right)}{\left(8 x^{2} - 5\right) \left(\left(7 x + 9\right)^{2} + 1\right)}\right)}{8 x^{2} - 5}
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Gráfico
Derivada de y=(arctg(7*x+9))/(8*x^2-5)
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