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Beliebt Rechnen >

derivative y=f(u)=u(y,x)^3-4yu(y,x)=g(x)=x^3+3

Lösung

ableitung von

y = f (u) = u (y, x) (y, x)^{3} - 4 y u (y, x) = g (x) = x^{3} + 3

Lösung

3 x^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 x^{2} + 0

Vereinfache

= 3 x^{2}

Graph

Beliebte Beispiele

limit as x approaches 3pi of e^{sin(x)}

x \to 3 π lim (e^{s i n (x)})

derivative f(x)=\sqrt[3]{x-8}

d er i v a t i v e f (x) = 3 x - 8

limit as x approaches 3 of (|x-3|)/(3-x)

x \to 3 lim (\frac{∣ x - 3 ∣}{3 - x})

integral of (1-2x)e^{-2x}

\int (1 - 2 x) e^{- 2 x} d x

d er i v a t i v e \frac{3}{y}