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Beliebt Rechnen >

derivative of (7-3x(x+5))

Lösung

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

Lösung

- 6 x - 8

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 7 - 3 x, g = x + 5

= \frac{d}{d x} (7 - 3 x) (x + 5) + \frac{d}{d x} (x + 5) (7 - 3 x)

\frac{d}{d x} (7 - 3 x) = - 3

\frac{d}{d x} (x + 5) = 1

= (- 3) (x + 5) + 1 \cdot (7 - 3 x)

Vereinfache

(- 3) (x + 5) + 1 \cdot (7 - 3 x) : - 6 x - 8

= - 6 x - 8

Graph

Beliebte Beispiele

y^{^{'}} + 3 y = cos (x)

4y^{''}+y^'+8y=0

4 y^{^{''}} + y^{^{'}} + 8 y = 0

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

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