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Beliebt Rechnen >

derivative f(x)=(1/4 x)^3

Lösung

ableitung von

f (x) = (\frac{1}{4} x)^{3}

Lösung

\frac{3 x ^{2}}{64}

Schritte zur Lösung

\frac{d}{d x} ((\frac{1}{4} x)^{3})

Wende die Kettenregel an:

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

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

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

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

Vereinfache

3 (\frac{1}{4} x)^{2} \frac{1}{4} : \frac{3 x ^{2}}{64}

= \frac{3 x ^{2}}{64}

Graph

Beliebte Beispiele

derivative of (tan(x)^2)

\frac{d}{d x} ((tan (x))^{2})

y^'=-y-2x,y(0)=1

y^{^{'}} = - y - 2 x, y (0) = 1

(dy)/(dx)+4xy^3=0

\frac{d y}{d x} + 4 x y^{3} = 0

derivative f(x)=(-16x^2+36)^2

d er i v a t i v e f (x) = (- 16 x^{2} + 36)^{2}

derivative of arctan(tanh(x))

\frac{d}{d x} (arctan (tanh (x)))