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y=lg|2x^3+4|
Derivada de la función/ x^3+4/ y=lg|2x^3+4|

Derivada de y=lg|2x^3+4|

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
   /|   3    |\
log\|2*x  + 4|/
log⁡(∣2x3+4∣)\log{\left(\left|{2 x^{3} + 4}\right| \right)} 
log(|2*x^3 + 4|)
Gráfica
02468-8-6-4-2-1010-2525
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   2     /       3\
6*x *sign\4 + 2*x /
-------------------
     |   3    |    
     |2*x  + 4|
6x2sign⁡(2x3+4)∣2x3+4∣\frac{6 x^{2} \operatorname{sign}{\left(2 x^{3} + 4 \right)}}{\left|{2 x^{3} + 4}\right|}
Simplificar
Segunda derivada [src] 
    /      /     3\      3     2/     3\       3           /  /     3\\\
    |2*sign\2 + x /   3*x *sign \2 + x /   12*x *DiracDelta\2*\2 + x //|
3*x*|-------------- - ------------------ + ----------------------------|
    |   |     3|                  2                  |     3|          |
    |   |2 + x |          /     3\                   |2 + x |          |
    \                     \2 + x /                                     /
3x(12x3δ(2(x3+2))∣x3+2∣−3x3sign⁡2(x3+2)(x3+2)2+2sign⁡(x3+2)∣x3+2∣)3 x \left(\frac{12 x^{3} \delta\left(2 \left(x^{3} + 2\right)\right)}{\left|{x^{3} + 2}\right|} - \frac{3 x^{3} \operatorname{sign}^{2}{\left(x^{3} + 2 \right)}}{\left(x^{3} + 2\right)^{2}} + \frac{2 \operatorname{sign}{\left(x^{3} + 2 \right)}}{\left|{x^{3} + 2}\right|}\right)
Simplificar
Tercera derivada [src] 
  /    /     3\      3     2/     3\      6     2/     3\       3           /  /     3\\       6           /  /     3\   \       6           /  /     3\\     /     3\\
  |sign\2 + x /   9*x *sign \2 + x /   9*x *sign \2 + x /   36*x *DiracDelta\2*\2 + x //   36*x *DiracDelta\2*\2 + x /, 1/   54*x *DiracDelta\2*\2 + x //*sign\2 + x /|
6*|------------ - ------------------ + ------------------ + ---------------------------- + ------------------------------- - -----------------------------------------|
  |  |     3|                 2                    3                  |     3|                         |     3|                                      2                |
  |  |2 + x |         /     3\             /     3\                   |2 + x |                         |2 + x |                              /     3\                 |
  \                   \2 + x /             \2 + x /                                                                                          \2 + x /                 /
6(36x6δ(1)(2(x3+2))∣x3+2∣−54x6δ(2(x3+2))sign⁡(x3+2)(x3+2)2+9x6sign⁡2(x3+2)(x3+2)3+36x3δ(2(x3+2))∣x3+2∣−9x3sign⁡2(x3+2)(x3+2)2+sign⁡(x3+2)∣x3+2∣)6 \left(\frac{36 x^{6} \delta^{\left( 1 \right)}\left( 2 \left(x^{3} + 2\right) \right)}{\left|{x^{3} + 2}\right|} - \frac{54 x^{6} \delta\left(2 \left(x^{3} + 2\right)\right) \operatorname{sign}{\left(x^{3} + 2 \right)}}{\left(x^{3} + 2\right)^{2}} + \frac{9 x^{6} \operatorname{sign}^{2}{\left(x^{3} + 2 \right)}}{\left(x^{3} + 2\right)^{3}} + \frac{36 x^{3} \delta\left(2 \left(x^{3} + 2\right)\right)}{\left|{x^{3} + 2}\right|} - \frac{9 x^{3} \operatorname{sign}^{2}{\left(x^{3} + 2 \right)}}{\left(x^{3} + 2\right)^{2}} + \frac{\operatorname{sign}{\left(x^{3} + 2 \right)}}{\left|{x^{3} + 2}\right|}\right)
Simplificar
Gráfico
Derivada de y=lg|2x^3+4|
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