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x*tgx+((lnx-4)/(3sqrt(x)))
Derivada de la función/ 3sqrt/ x*tgx/ sqrt(x)/ x*tgx+((lnx-4)/(3sqrt(x)))

Derivada de x*tgx+((lnx-4)/(3sqrt(x)))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
           log(x) - 4
x*tan(x) + ----------
                ___  
            3*\/ x
xtan⁡(x)+log⁡(x)−43xx \tan{\left(x \right)} + \frac{\log{\left(x \right)} - 4}{3 \sqrt{x}} 
x*tan(x) + (log(x) - 4)/((3*sqrt(x)))
Gráfica
02468-8-6-4-2-1010-50005000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                  /   1   \                      
                  |-------|                      
                  |    ___|                      
  /       2   \   \3*\/ x /   log(x) - 4         
x*\1 + tan (x)/ + --------- - ---------- + tan(x)
                      x            3/2           
                                6*x
131xx+x(tan⁡2(x)+1)+tan⁡(x)−log⁡(x)−46x32\frac{\frac{1}{3} \frac{1}{\sqrt{x}}}{x} + x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)} - \frac{\log{\left(x \right)} - 4}{6 x^{\frac{3}{2}}}
Simplificar
Segunda derivada [src] 
         2        2      -4 + log(x)       /       2   \       
2 + 2*tan (x) - ------ + ----------- + 2*x*\1 + tan (x)/*tan(x)
                   5/2         5/2                             
                3*x         4*x
2x(tan⁡2(x)+1)tan⁡(x)+2tan⁡2(x)+2+log⁡(x)−44x52−23x522 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 2 \tan^{2}{\left(x \right)} + 2 + \frac{\log{\left(x \right)} - 4}{4 x^{\frac{5}{2}}} - \frac{2}{3 x^{\frac{5}{2}}}
Simplificar
Tercera derivada [src] 
                           2                                                                       
   23         /       2   \      /       2   \          5*(-4 + log(x))          2    /       2   \
------- + 2*x*\1 + tan (x)/  + 6*\1 + tan (x)/*tan(x) - --------------- + 4*x*tan (x)*\1 + tan (x)/
    7/2                                                         7/2                                
12*x                                                         8*x
2x(tan⁡2(x)+1)2+4x(tan⁡2(x)+1)tan⁡2(x)+6(tan⁡2(x)+1)tan⁡(x)−5(log⁡(x)−4)8x72+2312x722 x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{5 \left(\log{\left(x \right)} - 4\right)}{8 x^{\frac{7}{2}}} + \frac{23}{12 x^{\frac{7}{2}}}
Simplificar
Gráfico
Derivada de x*tgx+((lnx-4)/(3sqrt(x)))
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