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Beliebt Rechnen >

derivative of sqrt(ax+b)

Lösung

\frac{d}{d x} (a x + b)

Lösung

\frac{a}{2 a x + b}

Schritte zur Lösung

\frac{d}{d x} (a x + b)

Wende die Kettenregel an:

\frac{1}{2 a x + b} \frac{d}{d x} (a x + b)

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

\frac{d}{d x} (a x + b) = a

= \frac{1}{2 a x + b} a

Vereinfache

\frac{1}{2 a x + b} a : \frac{a}{2 a x + b}

= \frac{a}{2 a x + b}

Graph

Beliebte Beispiele

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

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

y^{'''}-2y^{''}-4y^'+8y=6xe^{2x}

y^{^{'''}} - 2 y^{^{''}} - 4 y^{^{'}} + 8 y = 6 x e^{2 x}

integral of (13)/((x-7)(x+6))

\int \frac{13}{( x - 7 ) ( x + 6 )} d x

f (x) = tan (x^{2})

limit as x approaches-4 of (x^2)/(4-x)

x \to - 4 lim (\frac{x ^{2}}{4 - x})