Sr Examen

Otras calculadoras

x+log(x+log(x,10),10)
Derivada de la función/ log(x,10)/ x+log(x+log(x,10),10)

Derivada de x+log(x+log(x,10),10)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
       /     log(x)    \
x + log|x + -------, 10|
       \    log(10)    /
x+log⁡(x+log⁡(x)log⁡(10))x + \log{\left(x + \frac{\log{\left(x \right)}}{\log{\left(10 \right)}} \right)} 
x + log(x + log(x)/log(10), 10)
Gráfica
02468-8-6-4-2-1010-2020
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
            1    
    1 + ---------
        x*log(10)
1 + -------------
          log(x) 
     x + ------- 
         log(10)
1+1xlog⁡(10)x+log⁡(x)log⁡(10)+1\frac{1 + \frac{1}{x \log{\left(10 \right)}}}{x + \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}} + 1
Simplificar
Segunda derivada [src] 
 /                            2\ 
 |             /        1    \ | 
 |             |1 + ---------| | 
 |    1        \    x*log(10)/ | 
-|---------- + ----------------| 
 | 2                  log(x)   | 
 |x *log(10)     x + -------   | 
 \                   log(10)   / 
---------------------------------
                log(x)           
           x + -------           
               log(10)
−(1+1xlog⁡(10))2x+log⁡(x)log⁡(10)+1x2log⁡(10)x+log⁡(x)log⁡(10)- \frac{\frac{\left(1 + \frac{1}{x \log{\left(10 \right)}}\right)^{2}}{x + \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}} + \frac{1}{x^{2} \log{\left(10 \right)}}}{x + \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}}
Simplificar
Tercera derivada [src] 
                              3                           
               /        1    \         /        1    \    
             2*|1 + ---------|       3*|1 + ---------|    
    2          \    x*log(10)/         \    x*log(10)/    
---------- + ------------------ + ------------------------
 3                          2      2 /     log(x)\        
x *log(10)     /     log(x)\      x *|x + -------|*log(10)
               |x + -------|         \    log(10)/        
               \    log(10)/                              
----------------------------------------------------------
                            log(x)                        
                       x + -------                        
                           log(10)
2(1+1xlog⁡(10))3(x+log⁡(x)log⁡(10))2+3(1+1xlog⁡(10))x2(x+log⁡(x)log⁡(10))log⁡(10)+2x3log⁡(10)x+log⁡(x)log⁡(10)\frac{\frac{2 \left(1 + \frac{1}{x \log{\left(10 \right)}}\right)^{3}}{\left(x + \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}\right)^{2}} + \frac{3 \left(1 + \frac{1}{x \log{\left(10 \right)}}\right)}{x^{2} \left(x + \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}\right) \log{\left(10 \right)}} + \frac{2}{x^{3} \log{\left(10 \right)}}}{x + \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}}
Simplificar
Gráfico
Derivada de x+log(x+log(x,10),10)
    © Sr Examen – Калькулятор