Sr Examen

Derivada de y=e^3ctgx

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

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Solución

Ha introducido [src]
 3       
E *cot(x)
e3cot(x)e^{3} \cot{\left(x \right)}
E^3*cot(x)
Gráfica
02468-8-6-4-2-1010-200000200000
Primera derivada [src]
/        2   \  3
\-1 - cot (x)/*e 
(cot2(x)1)e3\left(- \cot^{2}{\left(x \right)} - 1\right) e^{3}
Segunda derivada [src]
  /       2   \         3
2*\1 + cot (x)/*cot(x)*e 
2(cot2(x)+1)e3cot(x)2 \left(\cot^{2}{\left(x \right)} + 1\right) e^{3} \cot{\left(x \right)}
Tercera derivada [src]
   /       2   \ /         2   \  3
-2*\1 + cot (x)/*\1 + 3*cot (x)/*e 
2(cot2(x)+1)(3cot2(x)+1)e3- 2 \left(\cot^{2}{\left(x \right)} + 1\right) \left(3 \cot^{2}{\left(x \right)} + 1\right) e^{3}
Gráfico
Derivada de y=e^3ctgx