derivative of 3x^2-10x+7

Lösung

\frac{d}{d x} (3 x^{2} - 10 x + 7)

6 x - 10

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} - 10 x + 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (10 x) + \frac{d}{d x} (7)

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

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (7) = 0

= 6 x - 10 + 0

Vereinfache

= 6 x - 10

\int_{0}^{1} (1 + x)^{8} d x

\frac{\partial}{\partial x} (e^{3 x yz - 2})

\frac{d}{d x} (\frac{3 x + 1}{x ^{2} + 1})

x \to \frac{π}{2} lim (\frac{sin ( x )}{x})

a re a x = \frac{y ^{2}}{4}, x = \frac{y}{2} + 2