Sr Examen

Otras calculadoras


y=(4+3*x-x^4)^1/3

Derivada de y=(4+3*x-x^4)^1/3

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
   ______________
3 /            4 
\/  4 + 3*x - x  
$$\sqrt[3]{- x^{4} + \left(3 x + 4\right)}$$
(4 + 3*x - x^4)^(1/3)
Gráfica
Primera derivada [src]
            3    
         4*x     
     1 - ----    
          3      
-----------------
              2/3
/           4\   
\4 + 3*x - x /   
$$\frac{1 - \frac{4 x^{3}}{3}}{\left(- x^{4} + \left(3 x + 4\right)\right)^{\frac{2}{3}}}$$
Segunda derivada [src]
   /                    2  \
   |         /        3\   |
   |   2     \-3 + 4*x /   |
-2*|2*x  + ----------------|
   |         /     4      \|
   \       9*\4 - x  + 3*x//
----------------------------
                   2/3      
     /     4      \         
     \4 - x  + 3*x/         
$$- \frac{2 \left(2 x^{2} + \frac{\left(4 x^{3} - 3\right)^{2}}{9 \left(- x^{4} + 3 x + 4\right)}\right)}{\left(- x^{4} + 3 x + 4\right)^{\frac{2}{3}}}$$
Tercera derivada [src]
   /                     3                     \
   |          /        3\         2 /        3\|
   |        5*\-3 + 4*x /      4*x *\-3 + 4*x /|
-2*|4*x + ------------------ + ----------------|
   |                       2          4        |
   |         /     4      \      4 - x  + 3*x  |
   \      27*\4 - x  + 3*x/                    /
------------------------------------------------
                             2/3                
               /     4      \                   
               \4 - x  + 3*x/                   
$$- \frac{2 \left(\frac{4 x^{2} \left(4 x^{3} - 3\right)}{- x^{4} + 3 x + 4} + 4 x + \frac{5 \left(4 x^{3} - 3\right)^{3}}{27 \left(- x^{4} + 3 x + 4\right)^{2}}\right)}{\left(- x^{4} + 3 x + 4\right)^{\frac{2}{3}}}$$
Gráfico
Derivada de y=(4+3*x-x^4)^1/3