Sr Examen

Otras calculadoras

x*log(10,(x^2+3))
Derivada de la función/ x*log/ x^2+3/ x*log(10,(x^2+3))

Derivada de x*log(10,(x^2+3))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
     /     2    \
x*log\10, x  + 3/
xlog⁡(10)x \log{\left(10 \right)} 
x*log(10, x^2 + 3)
Gráfica
02468-8-6-4-2-1010-1010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   2 /  d  / log(10) \\|                 /     2    \
2*x *|-----|---------|||      2     + log\10, x  + 3/
     \dxi_2\log(xi_2)//|xi_2=x  + 3
2x2ddξ2log⁡(10)log⁡(ξ2)∣ξ2=x2+3+log⁡(10)2 x^{2} \left. \frac{d}{d \xi_{2}} \frac{\log{\left(10 \right)}}{\log{\left(\xi_{2} \right)}} \right|_{\substack{ \xi_{2}=x^{2} + 3 }} + \log{\left(10 \right)}
Simplificar
Segunda derivada [src] 
    /                                      2 /         2     \        \
    |                                   2*x *|1 + -----------|*log(10)|
    |                                        |       /     2\|        |
    |  /  d  / log(10) \\|                   \    log\3 + x //        |
2*x*|3*|-----|---------|||      2     + ------------------------------|
    |  \dxi_2\log(xi_2)//|xi_2=x  + 3               2                 |
    |                                       /     2\     2/     2\    |
    \                                       \3 + x / *log \3 + x /    /
2x(2x2(1+2log⁡(x2+3))log⁡(10)(x2+3)2log⁡(x2+3)2+3ddξ2log⁡(10)log⁡(ξ2)∣ξ2=x2+3)2 x \left(\frac{2 x^{2} \left(1 + \frac{2}{\log{\left(x^{2} + 3 \right)}}\right) \log{\left(10 \right)}}{\left(x^{2} + 3\right)^{2} \log{\left(x^{2} + 3 \right)}^{2}} + 3 \left. \frac{d}{d \xi_{2}} \frac{\log{\left(10 \right)}}{\log{\left(\xi_{2} \right)}} \right|_{\substack{ \xi_{2}=x^{2} + 3 }}\right)
Simplificar
Tercera derivada [src] 
  /                                        /                                              2 /         2     \      2 /         2     \\                                         \
  |                                        |                                           4*x *|1 + -----------|   4*x *|1 + -----------||                                         |
  |                                        |                               2                |       /     2\|        |       /     2\||                                         |
  |                                      2 |          6                 4*x                 \    log\3 + x //        \    log\3 + x //|              2 /         2     \        |
  |                                   2*x *|-3 - ----------- + --------------------- + ---------------------- + ----------------------|*log(10)   6*x *|1 + -----------|*log(10)|
  |                                        |        /     2\   /     2\    2/     2\                2            /     2\    /     2\ |                |       /     2\|        |
  |  /  d  / log(10) \\|                   \     log\3 + x /   \3 + x /*log \3 + x /           3 + x             \3 + x /*log\3 + x / /                \    log\3 + x //        |
2*|3*|-----|---------|||      2     - --------------------------------------------------------------------------------------------------------- + ------------------------------|
  |  \dxi_2\log(xi_2)//|xi_2=x  + 3                                                     2                                                                     2                 |
  |                                                                             /     2\     2/     2\                                                /     2\     2/     2\    |
  \                                                                             \3 + x / *log \3 + x /                                                \3 + x / *log \3 + x /    /
2(6x2(1+2log⁡(x2+3))log⁡(10)(x2+3)2log⁡(x2+3)2−2x2(4x2(1+2log⁡(x2+3))x2+3+4x2(1+2log⁡(x2+3))(x2+3)log⁡(x2+3)+4x2(x2+3)log⁡(x2+3)2−3−6log⁡(x2+3))log⁡(10)(x2+3)2log⁡(x2+3)2+3ddξ2log⁡(10)log⁡(ξ2)∣ξ2=x2+3)2 \left(\frac{6 x^{2} \left(1 + \frac{2}{\log{\left(x^{2} + 3 \right)}}\right) \log{\left(10 \right)}}{\left(x^{2} + 3\right)^{2} \log{\left(x^{2} + 3 \right)}^{2}} - \frac{2 x^{2} \left(\frac{4 x^{2} \left(1 + \frac{2}{\log{\left(x^{2} + 3 \right)}}\right)}{x^{2} + 3} + \frac{4 x^{2} \left(1 + \frac{2}{\log{\left(x^{2} + 3 \right)}}\right)}{\left(x^{2} + 3\right) \log{\left(x^{2} + 3 \right)}} + \frac{4 x^{2}}{\left(x^{2} + 3\right) \log{\left(x^{2} + 3 \right)}^{2}} - 3 - \frac{6}{\log{\left(x^{2} + 3 \right)}}\right) \log{\left(10 \right)}}{\left(x^{2} + 3\right)^{2} \log{\left(x^{2} + 3 \right)}^{2}} + 3 \left. \frac{d}{d \xi_{2}} \frac{\log{\left(10 \right)}}{\log{\left(\xi_{2} \right)}} \right|_{\substack{ \xi_{2}=x^{2} + 3 }}\right)
Simplificar
Gráfico
Derivada de x*log(10,(x^2+3))
    © Sr Examen – Калькулятор