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Beliebt Rechnen >

derivative of 2x^2-3x+1

Lösung

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

Lösung

4 x - 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (1) = 0

= 4 x - 3 + 0

Vereinfache

= 4 x - 3

Graph

Beliebte Beispiele

taylor-(x-3)^3,1

t a y l or - (x - 3)^{3}, 1

limit as h approaches 0 of (((1+h)e^{(1+h)^2}-3))/h

h \to 0 lim \frac{( ( 1 + h ) e ^{(1 + h)^{2}} - 3 )}{h}

derivative f(x)=5x^3

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

integral of-(cos(3x))/3

\int - \frac{cos ( 3 x )}{3} d x

integral of (0.25)/((0.25^2+x^2)^{3/2)}

\int \frac{0.25}{( 0.2 5 ^{2} + x ^{2} ) ^{\frac{3}{2}}} d x