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Beliebt Rechnen >

derivative of (x^2+3/2)

Lösung

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

Lösung

x

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{1}{2} (2 x + 0)

Vereinfache

\frac{1}{2} (2 x + 0) : x

= x

Graph

Beliebte Beispiele

integral of xsin(11-x)

\int x sin (11 - x) d x

derivative f(x)=x^2(3+x)^{-5}

d er i v a t i v e f (x) = x^{2} (3 + x)^{- 5}

d/(dt)(e^t(cos(t)-sin(t)))

\frac{d}{d t} (e^{t} (cos (t) - sin (t)))

y^{''}+1/4 y=0,y(pi)=1,y^'(pi)=-3

y^{^{''}} + \frac{1}{4} y = 0, y (π) = 1, y^{^{'}} (π) = - 3

derivative of ((x-1/(x^2+x+1))^4)

\frac{d}{d x} ((\frac{x - 1}{x ^{2} + x + 1})^{4})