derivative of (x+ae^2x+b)

Lösung

\frac{d}{d x} ((x + a) e^{2} x + b)

e^{2} (2 x + a)

Schritte zur Lösung

\frac{d}{d x} ((x + a) e^{2} x + b)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} ((x + a) e^{2} x) + \frac{d b}{d x}

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

\frac{d b}{d x} = 0

= e^{2} (2 x + a) + 0

Vereinfache

= e^{2} (2 x + a)

\int x^{2} 2 + x^{3} d x

d er i v a t i v e f (x) = \frac{10}{x ^{7}}

\frac{\partial}{\partial x} (4 + 2 x - 3 y^{2})

\int 3 \cdot x d x

\frac{\partial}{\partial p} (pq)