derivative of 6sqrt(x)-3x

Lösung

\frac{d}{d x} (6 x - 3 x)

\frac{3}{x} - 3

Schritte zur Lösung

\frac{d}{d x} (6 x - 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (6 x) - \frac{d}{d x} (3 x)

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

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

= \frac{3}{x} - 3

x \to 5 - lim (c x^{2} + 2 x)

a re a y = \frac{x ^{2}}{2} - 4 x + 6, y = \frac{x}{2} - 1

im pl i c i t x^{\frac{1}{2}} + y^{\frac{1}{2}} = 9

\frac{d}{d x} (\frac{x + 9}{x - 9})

x \to 0 lim (\frac{( 1 + x ) ^{7} - 1}{x})