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Beliebt Rechnen >

derivative 4pi(3+x)^2

Lösung

ableitung von

4 π (3 + x)^{2}

Lösung

8 π (3 + x)

Schritte zur Lösung

\frac{d}{d x} (4 π (3 + x)^{2})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 π \frac{d}{d x} ((3 + x)^{2})

Wende die Kettenregel an:

2 (3 + x) \frac{d}{d x} (3 + x)

= 2 (3 + x) \frac{d}{d x} (3 + x)

\frac{d}{d x} (3 + x) = 1

= 4 π 2 (3 + x) \cdot 1

Vereinfache

= 8 π (3 + x)

Graph

Beliebte Beispiele

tangent f(x)=(x^2)/(x+7),\at x=1

t an g e n t f (x) = \frac{x ^{2}}{x + 7}, at x = 1

(d^3)/(dx^3)((2x+5)^7)

\frac{d ^{3}}{d x ^{3}} ((2 x + 5)^{7})

derivative y=(5x+4)^2

d er i v a t i v e y = (5 x + 4)^{2}

integral of (3-x)/(3x^2-2x-1)

\int \frac{3 - x}{3 x ^{2} - 2 x - 1} d x

limit as x approaches 1 of (2x+1)(x-1)

x \to 1 lim ((2 x + 1) (x - 1))