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Beliebt Rechnen >

derivative of sqrt(4ax)

Lösung

\frac{d}{d x} (4 a x)

Lösung

\frac{a}{x}

Schritte zur Lösung

\frac{d}{d x} (4 a x)

Wende die Kettenregel an:

\frac{1}{2 4 a x} \frac{d}{d x} (4 a x)

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

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

= \frac{1}{2 4 a x} \cdot 4 a

Vereinfache

\frac{1}{2 4 a x} \cdot 4 a : \frac{a}{x}

= \frac{a}{x}

Graph

Beliebte Beispiele

integral of (x-8)/(x^2+2)

\int \frac{x - 8}{x ^{2} + 2} d x

(\partial)/(\partial y)(e^{3x+4y}cos(5z))

\frac{\partial}{\partial y} (e^{3 x + 4 y} cos (5 z))

integral from 6 to 8 of (56)/((x-6)^3)

\int_{6}^{8} \frac{56}{( x - 6 ) ^{3}} d x

derivative f(x)=(-4x^2+9)^2

d er i v a t i v e f (x) = (- 4 x^{2} + 9)^{2}

derivative of (12/(x+1))

\frac{d}{d x} (\frac{12}{x + 1})