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Beliebt Rechnen >

derivative of sqrt(4+\sqrt{3x)}

Lösung

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

Lösung

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

limit as x approaches infinity of 1-2x

x \to \infty lim (1 - 2 x)

derivative of e^xx+e^x

\frac{d}{d x} (e^{x} x + e^{x})

(dy)/(dx)=((3x^2+4x-4))/(2y-4)

\frac{d y}{d x} = \frac{( 3 x ^{2} + 4 x - 4 )}{2 y - 4}

derivative 2tan(θ)

d er i v a t i v e 2 tan (θ)

(d^2)/(dx^2)(3-x^2)

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