Sr Examen

Otras calculadoras

y=2^arctgx+lnx³
Derivada de la función/ x+lnx/ arctg/ y=2^arctgx+lnx³

Derivada de y=2^arctgx+lnx³

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
 acot(x)      3   
2        + log (x)
2acot⁡(x)+log⁡(x)32^{\operatorname{acot}{\left(x \right)}} + \log{\left(x \right)}^{3} 
2^acot(x) + log(x)^3
Gráfica
02468-8-6-4-2-1010-200200
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
     2       acot(x)       
3*log (x)   2       *log(2)
--------- - ---------------
    x                 2    
                 1 + x
−2acot⁡(x)log⁡(2)x2+1+3log⁡(x)2x- \frac{2^{\operatorname{acot}{\left(x \right)}} \log{\left(2 \right)}}{x^{2} + 1} + \frac{3 \log{\left(x \right)}^{2}}{x}
Simplificar
Segunda derivada [src] 
       2                  acot(x)    2           acot(x)       
  3*log (x)   6*log(x)   2       *log (2)   2*x*2       *log(2)
- --------- + -------- + ---------------- + -------------------
       2          2                 2                    2     
      x          x          /     2\             /     2\      
                            \1 + x /             \1 + x /
2⋅2acot⁡(x)xlog⁡(2)(x2+1)2+2acot⁡(x)log⁡(2)2(x2+1)2−3log⁡(x)2x2+6log⁡(x)x2\frac{2 \cdot 2^{\operatorname{acot}{\left(x \right)}} x \log{\left(2 \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{2^{\operatorname{acot}{\left(x \right)}} \log{\left(2 \right)}^{2}}{\left(x^{2} + 1\right)^{2}} - \frac{3 \log{\left(x \right)}^{2}}{x^{2}} + \frac{6 \log{\left(x \right)}}{x^{2}}
Simplificar
Tercera derivada [src] 
                      2       acot(x)    3         acot(x)             acot(x)  2               acot(x)    2   
6    18*log(x)   6*log (x)   2       *log (2)   2*2       *log(2)   8*2       *x *log(2)   6*x*2       *log (2)
-- - --------- + --------- - ---------------- + ----------------- - -------------------- - --------------------
 3        3           3                 3                   2                    3                      3      
x        x           x          /     2\            /     2\             /     2\               /     2\       
                                \1 + x /            \1 + x /             \1 + x /               \1 + x /
−8⋅2acot⁡(x)x2log⁡(2)(x2+1)3−6⋅2acot⁡(x)xlog⁡(2)2(x2+1)3+2⋅2acot⁡(x)log⁡(2)(x2+1)2−2acot⁡(x)log⁡(2)3(x2+1)3+6log⁡(x)2x3−18log⁡(x)x3+6x3- \frac{8 \cdot 2^{\operatorname{acot}{\left(x \right)}} x^{2} \log{\left(2 \right)}}{\left(x^{2} + 1\right)^{3}} - \frac{6 \cdot 2^{\operatorname{acot}{\left(x \right)}} x \log{\left(2 \right)}^{2}}{\left(x^{2} + 1\right)^{3}} + \frac{2 \cdot 2^{\operatorname{acot}{\left(x \right)}} \log{\left(2 \right)}}{\left(x^{2} + 1\right)^{2}} - \frac{2^{\operatorname{acot}{\left(x \right)}} \log{\left(2 \right)}^{3}}{\left(x^{2} + 1\right)^{3}} + \frac{6 \log{\left(x \right)}^{2}}{x^{3}} - \frac{18 \log{\left(x \right)}}{x^{3}} + \frac{6}{x^{3}}
Simplificar
Gráfico
Derivada de y=2^arctgx+lnx³
    © Sr Examen – Калькулятор