derivative of 5x^2-3x+2

Lösung

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

10 x - 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (2) = 0

= 10 x - 3 + 0

Vereinfache

= 10 x - 3

d er i v a t i v e \frac{2}{x} - \frac{2}{x ^{3}} + \frac{1}{x ^{4}}

\int 4 x^{5} d x

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

\int (x^{2} e^{a x} + \frac{1}{a x}) d x

y^{^{''}} - 12 y^{^{'}} + 35 y = 0