Sr Examen

Otras calculadoras

y=arctan(ln(x^3))+x^(1/3)
Derivada de la función/ (x^3)/ arctan/ x^(1/3)/ y=arctan(ln(x^3))+x^(1/3)

Derivada de y=arctan(ln(x^3))+x^(1/3)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
    /   / 3\\   3 ___
atan\log\x // + \/ x
x3+atan⁡(log⁡(x3))\sqrt[3]{x} + \operatorname{atan}{\left(\log{\left(x^{3} \right)} \right)} 
atan(log(x^3)) + x^(1/3)
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
  1             3        
------ + ----------------
   2/3     /       2/ 3\\
3*x      x*\1 + log \x //
3x(log⁡(x3)2+1)+13x23\frac{3}{x \left(\log{\left(x^{3} \right)}^{2} + 1\right)} + \frac{1}{3 x^{\frac{2}{3}}}
Simplificar
Segunda derivada [src] 
 /                                       / 3\    \
 |  2              3               18*log\x /    |
-|------ + ----------------- + ------------------|
 |   5/3    2 /       2/ 3\\                    2|
 |9*x      x *\1 + log \x //    2 /       2/ 3\\ |
 \                             x *\1 + log \x // /
−(3x2(log⁡(x3)2+1)+18log⁡(x3)x2(log⁡(x3)2+1)2+29x53)- (\frac{3}{x^{2} \left(\log{\left(x^{3} \right)}^{2} + 1\right)} + \frac{18 \log{\left(x^{3} \right)}}{x^{2} \left(\log{\left(x^{3} \right)}^{2} + 1\right)^{2}} + \frac{2}{9 x^{\frac{5}{3}}})
Simplificar
Tercera derivada [src] 
  /                                                             / 3\                 2/ 3\   \
  |   5              27                   3               27*log\x /          108*log \x /   |
2*|------- - ------------------ + ----------------- + ------------------ + ------------------|
  |    8/3                    2    3 /       2/ 3\\                    2                    3|
  |27*x       3 /       2/ 3\\    x *\1 + log \x //    3 /       2/ 3\\     3 /       2/ 3\\ |
  \          x *\1 + log \x //                        x *\1 + log \x //    x *\1 + log \x // /
2(3x3(log⁡(x3)2+1)+27log⁡(x3)x3(log⁡(x3)2+1)2−27x3(log⁡(x3)2+1)2+108log⁡(x3)2x3(log⁡(x3)2+1)3+527x83)2 \left(\frac{3}{x^{3} \left(\log{\left(x^{3} \right)}^{2} + 1\right)} + \frac{27 \log{\left(x^{3} \right)}}{x^{3} \left(\log{\left(x^{3} \right)}^{2} + 1\right)^{2}} - \frac{27}{x^{3} \left(\log{\left(x^{3} \right)}^{2} + 1\right)^{2}} + \frac{108 \log{\left(x^{3} \right)}^{2}}{x^{3} \left(\log{\left(x^{3} \right)}^{2} + 1\right)^{3}} + \frac{5}{27 x^{\frac{8}{3}}}\right)
Simplificar
Gráfico
Derivada de y=arctan(ln(x^3))+x^(1/3)
    © Sr Examen – Калькулятор