Sr Examen

Derivada de y=-7cosx–4tgx+2arcsinx

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src]
-7*cos(x) - 4*tan(x) + 2*asin(x)
$$\left(- 7 \cos{\left(x \right)} - 4 \tan{\left(x \right)}\right) + 2 \operatorname{asin}{\left(x \right)}$$
-7*cos(x) - 4*tan(x) + 2*asin(x)
Gráfica
Primera derivada [src]
          2           2                
-4 - 4*tan (x) + ----------- + 7*sin(x)
                    ________           
                   /      2            
                 \/  1 - x             
$$7 \sin{\left(x \right)} - 4 \tan^{2}{\left(x \right)} - 4 + \frac{2}{\sqrt{1 - x^{2}}}$$
Segunda derivada [src]
             /       2   \              2*x    
7*cos(x) - 8*\1 + tan (x)/*tan(x) + -----------
                                            3/2
                                    /     2\   
                                    \1 - x /   
$$\frac{2 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 8 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 7 \cos{\left(x \right)}$$
Tercera derivada [src]
                 2                                                              2   
    /       2   \                    2              2    /       2   \       6*x    
- 8*\1 + tan (x)/  - 7*sin(x) + ----------- - 16*tan (x)*\1 + tan (x)/ + -----------
                                        3/2                                      5/2
                                /     2\                                 /     2\   
                                \1 - x /                                 \1 - x /   
$$\frac{6 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - 8 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} - 16 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} - 7 \sin{\left(x \right)} + \frac{2}{\left(1 - x^{2}\right)^{\frac{3}{2}}}$$
Gráfico
Derivada de y=-7cosx–4tgx+2arcsinx