Sr Examen

Otras calculadoras

y=cbrt(x)*arccos(sqrt(x+1))
Derivada de la función/ y=cbrt(x)*arccos(sqrt(x+1))

Derivada de y=cbrt(x)*arccos(sqrt(x+1))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
3 ___     /  _______\
\/ x *acos\\/ x + 1 /
x3acos⁡(x+1)\sqrt[3]{x} \operatorname{acos}{\left(\sqrt{x + 1} \right)} 
x^(1/3)*acos(sqrt(x + 1))
Gráfica
02468-8-6-4-2-10100.02-0.02
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
    /  _______\         3 ___       
acos\\/ x + 1 /         \/ x        
--------------- - ------------------
        2/3           ____   _______
     3*x          2*\/ -x *\/ x + 1
−x32−xx+1+acos⁡(x+1)3x23- \frac{\sqrt[3]{x}}{2 \sqrt{- x} \sqrt{x + 1}} + \frac{\operatorname{acos}{\left(\sqrt{x + 1} \right)}}{3 x^{\frac{2}{3}}}
Simplificar
Segunda derivada [src] 
                                                3 ___ /1     1  \
        /  _______\                           9*\/ x *|- + -----|
  8*acos\\/ 1 + x /             12                    \x   1 + x/
- ----------------- - --------------------- + -------------------
          5/3          2/3   ____   _______       ____   _______ 
         x            x   *\/ -x *\/ 1 + x      \/ -x *\/ 1 + x  
-----------------------------------------------------------------
                                36
9x3(1x+1+1x)−xx+1−12x23−xx+1−8acos⁡(x+1)x5336\frac{\frac{9 \sqrt[3]{x} \left(\frac{1}{x + 1} + \frac{1}{x}\right)}{\sqrt{- x} \sqrt{x + 1}} - \frac{12}{x^{\frac{2}{3}} \sqrt{- x} \sqrt{x + 1}} - \frac{8 \operatorname{acos}{\left(\sqrt{x + 1} \right)}}{x^{\frac{5}{3}}}}{36}
Simplificar
Tercera derivada [src] 
                                                3 ___ /3       3           2    \                        
                                             27*\/ x *|-- + -------- + ---------|          /1     1  \   
       /  _______\                                    | 2          2   x*(1 + x)|       54*|- + -----|   
80*acos\\/ 1 + x /             72                     \x    (1 + x)             /          \x   1 + x/   
------------------ + --------------------- - ------------------------------------ + ---------------------
        8/3           5/3   ____   _______               ____   _______              2/3   ____   _______
       x             x   *\/ -x *\/ 1 + x              \/ -x *\/ 1 + x              x   *\/ -x *\/ 1 + x 
---------------------------------------------------------------------------------------------------------
                                                   216
−27x3(3(x+1)2+2x(x+1)+3x2)−xx+1+54(1x+1+1x)x23−xx+1+72x53−xx+1+80acos⁡(x+1)x83216\frac{- \frac{27 \sqrt[3]{x} \left(\frac{3}{\left(x + 1\right)^{2}} + \frac{2}{x \left(x + 1\right)} + \frac{3}{x^{2}}\right)}{\sqrt{- x} \sqrt{x + 1}} + \frac{54 \left(\frac{1}{x + 1} + \frac{1}{x}\right)}{x^{\frac{2}{3}} \sqrt{- x} \sqrt{x + 1}} + \frac{72}{x^{\frac{5}{3}} \sqrt{- x} \sqrt{x + 1}} + \frac{80 \operatorname{acos}{\left(\sqrt{x + 1} \right)}}{x^{\frac{8}{3}}}}{216}
Simplificar
Gráfico
Derivada de y=cbrt(x)*arccos(sqrt(x+1))
    © Sr Examen – Калькулятор