derivative of 1/2 x+3

Lösung

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

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

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

Vereinfache

\frac{1}{2} x + 3 : \frac{x}{2} + 3

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

\frac{d}{d x} (3) = 0

= \frac{1}{2} + 0

Vereinfache

= \frac{1}{2}

\int e^{2 x} - \frac{1}{2} e^{\frac{x}{2}} d x

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

x \to \infty lim (∣ x ∣)

\int \frac{1}{( 3 x + 4 ) ( 4 x - 1 )} d x

\frac{d}{d x} (4 x^{5} - 3 x^{4} + 2 x^{3} - x + 100)