derivative of 3e^x+5x^2

Lösung

\frac{d}{d x} (3 e^{x} + 5 x^{2})

3 e^{x} + 10 x

Schritte zur Lösung

\frac{d}{d x} (3 e^{x} + 5 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 e^{x}) + \frac{d}{d x} (5 x^{2})

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

\frac{d}{d x} (5 x^{2}) = 10 x

= 3 e^{x} + 10 x

3 \cdot \frac{d y}{d x} + 5 y = 1

d er i v a t i v e - cos (2 x) - 2 sin (2 x) (1 - x)

a re a 1, 8, [- 0.5 x + 6], x + 2

\frac{d}{d x} (\frac{3 ( 1 - sin ( x ) )}{2 cos ( x )})

\int_{2}^{3} e^{x} d x