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(𝑥*tg𝑥)+(ln*𝑥)−4/3sqrt(𝑥)

Derivada de (𝑥*tg𝑥)+(ln*𝑥)−4/3sqrt(𝑥)

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

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src]
                        ___
                    4*\/ x 
x*tan(x) + log(x) - -------
                       3   
$$- \frac{4 \sqrt{x}}{3} + \left(x \tan{\left(x \right)} + \log{\left(x \right)}\right)$$
x*tan(x) + log(x) - 4*sqrt(x)/3
Gráfica
Primera derivada [src]
1      2        /       2   \         
- - ------- + x*\1 + tan (x)/ + tan(x)
x       ___                           
    3*\/ x                            
$$x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)} + \frac{1}{x} - \frac{2}{3 \sqrt{x}}$$
Segunda derivada [src]
    1         2        1          /       2   \       
2 - -- + 2*tan (x) + ------ + 2*x*\1 + tan (x)/*tan(x)
     2                  3/2                           
    x                3*x                              
$$2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 2 \tan^{2}{\left(x \right)} + 2 - \frac{1}{x^{2}} + \frac{1}{3 x^{\frac{3}{2}}}$$
Tercera derivada [src]
                               2                                                     
2      1          /       2   \      /       2   \                 2    /       2   \
-- - ------ + 2*x*\1 + tan (x)/  + 6*\1 + tan (x)/*tan(x) + 4*x*tan (x)*\1 + tan (x)/
 3      5/2                                                                          
x    2*x                                                                             
$$2 x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \frac{2}{x^{3}} - \frac{1}{2 x^{\frac{5}{2}}}$$
Gráfico
Derivada de (𝑥*tg𝑥)+(ln*𝑥)−4/3sqrt(𝑥)