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Beliebt Rechnen >

derivative x^2-2x+4

Lösung

ableitung von

x^{2} - 2 x + 4

Lösung

2 x - 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (4) = 0

= 2 x - 2 + 0

Vereinfache

= 2 x - 2

Graph

Beliebte Beispiele

derivative f(x)=4x^{5/4}+6x^{3/2}+3x

d er i v a t i v e f (x) = 4 x^{\frac{5}{4}} + 6 x^{\frac{3}{2}} + 3 x

y^{''}+12y^'+36y=0,y(1)=0,y^'(1)=1

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y (1) = 0, y^{^{'}} (1) = 1

derivative 2^{60}

d er i v a t i v e 2^{60}

y^'=(2xy-y^4)/(3x^2)

y^{^{'}} = \frac{2 x y - y ^{4}}{3 x ^{2}}

derivative f(x)=sqrt(x)(x-10)

d er i v a t i v e f (x) = x (x - 10)