derivative of 2x^{3/2}+3

Lösung

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

3 x^{\frac{1}{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2 x^{\frac{3}{2}}) = 3 x^{\frac{1}{2}}

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

= 3 x^{\frac{1}{2}} + 0

Vereinfache

= 3 x^{\frac{1}{2}}

d er i v a t i v e (arctan (3 x))^{2}

\frac{d}{d x} (15 sin (- π x) tan (\frac{2}{3} π x))

\int \frac{2 - v}{v ^{2} + 2 v - 3} d v

\frac{\partial}{\partial x} (x^{3} + a x y^{2})

x \to - \infty lim (\frac{4 arctan ( 8 x )}{e ^{x} + 2})