derivative of e^{x^2-5x}

Lösung

\frac{d}{d x} (e^{x^{2} - 5 x})

e^{x^{2} - 5 x} (2 x - 5)

Schritte zur Lösung

\frac{d}{d x} (e^{x^{2} - 5 x})

Wende die Kettenregel an:

e^{x^{2} - 5 x} \frac{d}{d x} (x^{2} - 5 x)

= e^{x^{2} - 5 x} \frac{d}{d x} (x^{2} - 5 x)

\frac{d}{d x} (x^{2} - 5 x) = 2 x - 5

= e^{x^{2} - 5 x} (2 x - 5)

\int_{0}^{9} π (2 y)^{2} d y

in v erse l a pl a ce 0

\int \frac{cos ( 3 π ) x}{2} d x

3 y^{^{''}} - 4 y^{^{'}} - 15 y = 0, y (0) = - 7, y^{^{'}} (0) = - 2

\frac{d}{d x} ((9 x^{2} - 18 x + 18) e^{x})