Question

Ayuda a encontrar la segunda derivada ​

Answer 1

$\frac{d}{dx}(e^{2x}Sen(5x))= e^{2x}(5)Cos(5x)+Sen(5x)(2)e^{2x}\\\\\frac{d}{dx}(e^{2x}Sen(5x))= e^{2x}(5Cos(5x)+2Sen(5x))\\\\\\\frac{d^2}{dx^2} (e^{2x}Sen(5x))= e^{2x}(-25Sen(x)+10Cos(5x))+(2)e^{2x}(5Cos(5x)+2Sen(5x))\\\\\frac{d^2}{dx^2} (e^{2x}Sen(5x))=e^{2x}(20Cos(5x)-21Sen(5x))$

Respuesta: $e^{2x}(20Cos(5x)-21Sen(5x))$