derivative of x^2-x+5

Lösung

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

2 x - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (5) = 0

= 2 x - 1 + 0

Vereinfache

= 2 x - 1

\int_{- 1}^{1} x^{3} - 3 x^{2} - x + 3 d x

\int \frac{5 x ^{2} + 7 x + 5}{( x ^{2} + 1 ) ^{2}} d x

\frac{d}{d x} ((x + 5) (x - 1) (x - 7))

\int sin^{5} (x co) s^{6} x d x

d er i v a t i v e f (x) = \frac{x ^{3} - 7 x ^{2} + 7}{x ^{2}}