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Beliebt Rechnen >

derivative of (4x^3/3-x+2e^x)

Lösung

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

Lösung

4 x^{2} - 1 + 2 e^{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{4 x ^{3}}{3}) - \frac{d x}{d x} + \frac{d}{d x} (2 e^{x})

\frac{d}{d x} (\frac{4 x ^{3}}{3}) = 4 x^{2}

\frac{d x}{d x} = 1

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

= 4 x^{2} - 1 + 2 e^{x}

Graph

Beliebte Beispiele

18y^{''}-9y^'-5y=0

18 y^{^{''}} - 9 y^{^{'}} - 5 y = 0

(dy)/(dx)+4xy=0

\frac{d y}{d x} + 4 x y = 0

steigung (10,-3),(7,1)

s l o p e (10, - 3), (7, 1)

limit as x approaches 0 of x^{sin(x)}

x \to 0 lim (x^{s i n (x)})

(x^2-1)y^'+2y=(x+1)^2

(x^{2} - 1) y^{^{'}} + 2 y = (x + 1)^{2}