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Beliebt Rechnen >

derivative of (2x+1(3x-2))

Lösung

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

Lösung

12 x - 1

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = 2 x + 1, g = 3 x - 2

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

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

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

= 2 (3 x - 2) + 3 (2 x + 1)

Vereinfache

2 (3 x - 2) + 3 (2 x + 1) : 12 x - 1

= 12 x - 1

Graph

Beliebte Beispiele

integral of 8sec^3(3x)

\int 8 sec^{3} (3 x) d x

y^'+y*cos(t)=sin(t)*cos(t)

y^{^{'}} + y \cdot cos (t) = sin (t) \cdot cos (t)

erweitern x^3(4-x)

e x p an d x^{3} (4 - x)

y^'=(x^2-y^2)/(xy),y(2)=2

y^{^{'}} = \frac{x ^{2} - y ^{2}}{x y}, y (2) = 2

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\int 3 sin (x) cos (x) d x