(d^2)/(dx^2)((x^3+4)e^x)

Lösung

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 4) e^{x})

e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 4 e^{x}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 4) e^{x})

\frac{d}{d x} ((x^{3} + 4) e^{x}) = 3 x^{2} e^{x} + e^{x} (x^{3} + 4)

= \frac{d}{d x} (3 x^{2} e^{x} + e^{x} (x^{3} + 4))

\frac{d}{d x} (3 x^{2} e^{x} + e^{x} (x^{3} + 4)) = e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 4 e^{x}

= e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 4 e^{x}

t a y l or ln (1 + 9 x)

\int \frac{x ^{5}}{x ^{2} + 2} d x

t a y l or ln (x)

t a y l or sin (x) 2

\int e^{5 x} sin (2 x) d x