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Beliebt Rechnen >

derivative f(x)=2x^2-5x+3,\at a=2

Lösung

ableitung von

f (x) = 2 x^{2} - 5 x + 3, at a = 2

Lösung

4 x - 5

Schritte zur Lösung

\frac{d}{d x} (2 x^{2} - 5 x + 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (5 x) + \frac{d}{d x} (3)

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

\frac{d}{d x} (5 x) = 5

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

= 4 x - 5 + 0

Vereinfache

= 4 x - 5

Graph

Beliebte Beispiele

y^{1/2}y^'+y^{3/2}=1

y^{\frac{1}{2}} y^{^{'}} + y^{\frac{3}{2}} = 1

derivative of e^{-x}sin(2x)

\frac{d}{d x} (e^{- x} sin (2 x))

f (n) = 3^{n}

integral of (x^3)/(\sqrt[5]{x^2+9)}

\int \frac{x ^{3}}{5 x ^{2} + 9} d x

t^2y^{''}-3ty^'+3y=0

t^{2} y^{^{''}} - 3 t y^{^{'}} + 3 y = 0