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Beliebt Vorkalkül >

derivative f(x)=sqrt(x+3)

Lösung

ableitung von

f (x) = x + 3

Lösung

\frac{1}{2 x + 3}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 x + 3} \cdot 1

Vereinfache

= \frac{1}{2 x + 3}

Graph

Beliebte Beispiele

tangent f(x)=sqrt(x),\at x=9

t an g e n t f (x) = x, at x = 9

derivative x^2-4x+5

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d er i v a t i v e y = 2 x + 5

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d er i v a t i v e x (x - 4)^{3}

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d er i v a t i v e f (x) = \frac{1}{x ^{2}}, at x = 2