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Beliebt Rechnen >

derivative f(x)=4x^2-2x+3

Lösung

ableitung von

f (x) = 4 x^{2} - 2 x + 3

Lösung

8 x - 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (4 x^{2}) = 8 x

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

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

= 8 x - 2 + 0

Vereinfache

= 8 x - 2

Graph

Beliebte Beispiele

geradzahligkeit tan(3x)+x^4

p a r i t y tan (3 x) + x^{4}

y^{''}+11y^'+28y=84x^2+66x+6+40e^x

y^{^{''}} + 11 y^{^{'}} + 28 y = 84 x^{2} + 66 x + 6 + 40 e^{x}

limit as x approaches 12 of sqrt(x-3)

x \to 12 lim (x - 3)

tangent f(x)=x^2-3,\at x=-2

t an g e n t f (x) = x^{2} - 3, at x = - 2

integral of x/(sqrt(2x^2+5))

\int \frac{x}{2 x ^{2} + 5} d x