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Beliebt Rechnen >

derivative sqrt(4+3x)

Lösung

ableitung von

4 + 3 x

Lösung

\frac{3}{2 4 + 3 x}

Schritte zur Lösung

\frac{d}{d x} (4 + 3 x)

Wende die Kettenregel an:

\frac{1}{2 4 + 3 x} \frac{d}{d x} (4 + 3 x)

= \frac{1}{2 4 + 3 x} \frac{d}{d x} (4 + 3 x)

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

= \frac{1}{2 4 + 3 x} \cdot 3

Vereinfache

\frac{1}{2 4 + 3 x} \cdot 3 : \frac{3}{2 4 + 3 x}

= \frac{3}{2 4 + 3 x}

Graph

Beliebte Beispiele

derivative of (1-x^2^{1/2})

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

fläche x=y^2-2,x=6-y^2

a re a x = y^{2} - 2, x = 6 - y^{2}

derivative of (4x+x^2/((2+x)^2))

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

derivative of arctan(e^xx^2)

\frac{d}{d x} (arctan (e^{x} x^{2}))

limit as x approaches 0 of 4/(sqrt(x))

x \to 0 lim (\frac{4}{x})