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Beliebt Rechnen >

derivative (x+2)(10-3x)

Lösung

ableitung von

(x + 2) (10 - 3 x)

Lösung

- 6 x + 4

Schritte zur Lösung

\frac{d}{d x} ((x + 2) (10 - 3 x))

Wende die Produktregel an:

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

f = x + 2, g = 10 - 3 x

= \frac{d}{d x} (x + 2) (10 - 3 x) + \frac{d}{d x} (10 - 3 x) (x + 2)

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

\frac{d}{d x} (10 - 3 x) = - 3

= 1 \cdot (10 - 3 x) + (- 3) (x + 2)

Vereinfache

1 \cdot (10 - 3 x) + (- 3) (x + 2) : - 6 x + 4

= - 6 x + 4

Graph

Beliebte Beispiele

integral of 1/(x^2-6x+12)

\int \frac{1}{x ^{2} - 6 x + 12} d x

limit as x approaches-1.001 of x^3-1

x \to - 1.001 lim (x^{3} - 1)

derivative of cos(x-a)

\frac{d}{d x} (cos (x - a))

integral of e^{2x^2}

\int e^{2 x^{2}} d x

limit as x approaches 0 of (tan(2x))/(5x)

x \to 0 lim (\frac{tan ( 2 x )}{5 x})