Sr Examen

Derivada de y=17sinx-2ctgx+10e^x

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
                           x
17*sin(x) - 2*cot(x) + 10*E 
$$10 e^{x} + \left(17 \sin{\left(x \right)} - 2 \cot{\left(x \right)}\right)$$
17*sin(x) - 2*cot(x) + 10*E^x
Gráfica
Primera derivada [src]
         2          x            
2 + 2*cot (x) + 10*e  + 17*cos(x)
$$10 e^{x} + 17 \cos{\left(x \right)} + 2 \cot^{2}{\left(x \right)} + 2$$
Segunda derivada [src]
                 x     /       2   \       
-17*sin(x) + 10*e  - 4*\1 + cot (x)/*cot(x)
$$- 4 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} + 10 e^{x} - 17 \sin{\left(x \right)}$$
Tercera derivada [src]
                            2                                  
               /       2   \        x        2    /       2   \
-17*cos(x) + 4*\1 + cot (x)/  + 10*e  + 8*cot (x)*\1 + cot (x)/
$$4 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} + 8 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} + 10 e^{x} - 17 \cos{\left(x \right)}$$
Gráfico
Derivada de y=17sinx-2ctgx+10e^x