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Beliebt Rechnen >

derivative of sqrt(16x^3)

Lösung

\frac{d}{d x} (16 x^{3})

Lösung

6 x

Schritte zur Lösung

\frac{d}{d x} (16 x^{3})

Wende die Kettenregel an:

\frac{1}{2 16 x ^{3}} \frac{d}{d x} (16 x^{3})

= \frac{1}{2 16 x ^{3}} \frac{d}{d x} (16 x^{3})

\frac{d}{d x} (16 x^{3}) = 48 x^{2}

= \frac{1}{2 16 x ^{3}} \cdot 48 x^{2}

Vereinfache

\frac{1}{2 16 x ^{3}} \cdot 48 x^{2} : 6 x

= 6 x

Graph

Beliebte Beispiele

derivative f(x)= 1/(x^2)+1/(x^3)

d er i v a t i v e f (x) = \frac{1}{x ^{2}} + \frac{1}{x ^{3}}

\frac{d y}{d x} = y - 5

derivative of (log_{2}(x)/x)

\frac{d}{d x} (\frac{lo g _{2} ( x )}{x})

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

d er i v a t i v e \frac{x ^{2}}{x - 4}

tangent y=x^2+3,(-2,7)

t an g e n t y = x^{2} + 3, (- 2, 7)