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Beliebt Rechnen >

limit as h approaches 3 of (3(x+h)^3-3x^3)/h

Lösung

h \to 3 lim (\frac{3 ( x + h ) ^{3} - 3 x ^{3}}{h})

Lösung

(x + 3)^{3} - x^{3}

Schritte zur Lösung

h \to 3 lim (\frac{3 ( x + h ) ^{3} - 3 x ^{3}}{h})

Setze den Wert

h = 3

ein

= \frac{3 ( x + 3 ) ^{3} - 3 x ^{3}}{3}

Vereinfache

\frac{3 ( x + 3 ) ^{3} - 3 x ^{3}}{3} : (x + 3)^{3} - x^{3}

= (x + 3)^{3} - x^{3}

Graph

Beliebte Beispiele

integral from-1 to 2 of (2x-7)/(x^3)

\int_{- 1}^{2} \frac{2 x - 7}{x ^{3}} d x

maclaurin 1/(1-x),3

ma c l a u r in \frac{1}{1 - x}, 3

integral from 0 to 1 of 2/(x-2)

\int_{0}^{1} \frac{2}{x - 2} d x

derivative of 1/(1+2x)

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

derivative of sqrt(9+5x)

\frac{d}{d x} (9 + 5 x)