derivative of x^2+3x-10

Lösung

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

2 x + 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (10) = 0

= 2 x + 3 - 0

Vereinfache

= 2 x + 3

l a pl a ce t r an s f or m t \cdot sin (5 t + 0.2 π)

t an g e n t f (x) = 7 + 4 x^{2} - 2 x^{3}, at x = 2

f (x) = x x + 3

\frac{d}{d x} (4 - 3 x - 5 x^{2})

\int - \frac{5 3 x ^{2}}{3} d x