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

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

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

Gráfico:

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Solución

Ha introducido [src]
           log(x) - 4
x*tan(x) + ----------
                ___  
            3*\/ x   
$$x \tan{\left(x \right)} + \frac{\log{\left(x \right)} - 4}{3 \sqrt{x}}$$
x*tan(x) + (log(x) - 4)/((3*sqrt(x)))
Gráfica
Primera derivada [src]
                  /   1   \                      
                  |-------|                      
                  |    ___|                      
  /       2   \   \3*\/ x /   log(x) - 4         
x*\1 + tan (x)/ + --------- - ---------- + tan(x)
                      x            3/2           
                                6*x              
$$\frac{\frac{1}{3} \frac{1}{\sqrt{x}}}{x} + x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)} - \frac{\log{\left(x \right)} - 4}{6 x^{\frac{3}{2}}}$$
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                                
$$2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 2 \tan^{2}{\left(x \right)} + 2 + \frac{\log{\left(x \right)} - 4}{4 x^{\frac{5}{2}}} - \frac{2}{3 x^{\frac{5}{2}}}$$
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                                   
$$2 x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{5 \left(\log{\left(x \right)} - 4\right)}{8 x^{\frac{7}{2}}} + \frac{23}{12 x^{\frac{7}{2}}}$$
Gráfico
Derivada de x*tgx+((lnx-4)/(3sqrt(x)))