Sr Examen

Otras calculadoras

Derivada de la función/ y=ctg2e^x-(x*arccos3x)/3-lnx

Derivada de y=ctg2e^x-(x*arccos3x)/3-lnx

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   x        x*acos(3*x)         
cot (2*E) - ----------- - log(x)
                 3
(−xacos⁡(3x)3+cot⁡x(2e))−log⁡(x)\left(- \frac{x \operatorname{acos}{\left(3 x \right)}}{3} + \cot^{x}{\left(2 e \right)}\right) - \log{\left(x \right)} 
cot(2*E)^x - x*acos(3*x)/3 - log(x)
Primera derivada [src] 
  1   acos(3*x)         x            x                   
- - - --------- + ------------- + cot (2*E)*log(cot(2*E))
  x       3          __________                          
                    /        2                           
                  \/  1 - 9*x
x1−9x2+log⁡(cot⁡(2e))cot⁡x(2e)−acos⁡(3x)3−1x\frac{x}{\sqrt{1 - 9 x^{2}}} + \log{\left(\cot{\left(2 e \right)} \right)} \cot^{x}{\left(2 e \right)} - \frac{\operatorname{acos}{\left(3 x \right)}}{3} - \frac{1}{x}
Simplificar
Segunda derivada [src] 
                                                        2    
1          2            x         2                  9*x     
-- + ------------- + cot (2*E)*log (cot(2*E)) + -------------
 2      __________                                        3/2
x      /        2                               /       2\   
     \/  1 - 9*x                                \1 - 9*x /
9x2(1−9x2)32+log⁡(cot⁡(2e))2cot⁡x(2e)+21−9x2+1x2\frac{9 x^{2}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + \log{\left(\cot{\left(2 e \right)} \right)}^{2} \cot^{x}{\left(2 e \right)} + \frac{2}{\sqrt{1 - 9 x^{2}}} + \frac{1}{x^{2}}
Simplificar
Tercera derivada [src] 
                                                           3   
  2       x         3                  36*x           243*x    
- -- + cot (2*E)*log (cot(2*E)) + ------------- + -------------
   3                                        3/2             5/2
  x                               /       2\      /       2\   
                                  \1 - 9*x /      \1 - 9*x /
243x3(1−9x2)52+36x(1−9x2)32+log⁡(cot⁡(2e))3cot⁡x(2e)−2x3\frac{243 x^{3}}{\left(1 - 9 x^{2}\right)^{\frac{5}{2}}} + \frac{36 x}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + \log{\left(\cot{\left(2 e \right)} \right)}^{3} \cot^{x}{\left(2 e \right)} - \frac{2}{x^{3}}
Simplificar
    © Sr Examen – Калькулятор