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Beliebt Rechnen >

derivative f(x)=(3x+5)^2

Lösung

ableitung von

f (x) = (3 x + 5)^{2}

Lösung

6 (3 x + 5)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x + 5) = 3

= 2 (3 x + 5) \cdot 3

Vereinfache

= 6 (3 x + 5)

Graph

Beliebte Beispiele

integral of 1/(cos(x)+1)

\int \frac{1}{cos ( x ) + 1} d x

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

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

fläche x^2-4x+7,2x^2-3x+1

a re a x^{2} - 4 x + 7, 2 x^{2} - 3 x + 1

derivative xsin(5x)

d er i v a t i v e x sin (5 x)

tangent-2sin(x),\at x=-pi/3

t an g e n t - 2 sin (x), at x = - \frac{π}{3}