Sr Examen

Derivada de y=3tgx–4sinx+3arccosx

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
3*tan(x) - 4*sin(x) + 3*acos(x)
$$\left(- 4 \sin{\left(x \right)} + 3 \tan{\left(x \right)}\right) + 3 \operatorname{acos}{\left(x \right)}$$
3*tan(x) - 4*sin(x) + 3*acos(x)
Gráfica
Primera derivada [src]
                    3             2   
3 - 4*cos(x) - ----------- + 3*tan (x)
                  ________            
                 /      2             
               \/  1 - x              
$$- 4 \cos{\left(x \right)} + 3 \tan^{2}{\left(x \right)} + 3 - \frac{3}{\sqrt{1 - x^{2}}}$$
Segunda derivada [src]
               3*x         /       2   \       
4*sin(x) - ----------- + 6*\1 + tan (x)/*tan(x)
                   3/2                         
           /     2\                            
           \1 - x /                            
$$- \frac{3 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 4 \sin{\left(x \right)}$$
Tercera derivada [src]
                                          2          2                              
       3                     /       2   \        9*x             2    /       2   \
- ----------- + 4*cos(x) + 6*\1 + tan (x)/  - ----------- + 12*tan (x)*\1 + tan (x)/
          3/2                                         5/2                           
  /     2\                                    /     2\                              
  \1 - x /                                    \1 - x /                              
$$- \frac{9 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + 6 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 12 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 4 \cos{\left(x \right)} - \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}}}$$
Gráfico
Derivada de y=3tgx–4sinx+3arccosx