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Beliebt Rechnen >

derivative (2x+3)(3x-4)

Lösung

ableitung von

(2 x + 3) (3 x - 4)

Lösung

12 x + 1

Schritte zur Lösung

\frac{d}{d x} ((2 x + 3) (3 x - 4))

Wende die Produktregel an:

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

f = 2 x + 3, g = 3 x - 4

= \frac{d}{d x} (2 x + 3) (3 x - 4) + \frac{d}{d x} (3 x - 4) (2 x + 3)

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

\frac{d}{d x} (3 x - 4) = 3

= 2 (3 x - 4) + 3 (2 x + 3)

Vereinfache

2 (3 x - 4) + 3 (2 x + 3) : 12 x + 1

= 12 x + 1

Graph

Beliebte Beispiele

integral from pi/9 to infinity of 5/x

\int_{\frac{π}{9}}^{\infty} \frac{5}{x} d x

derivative of x^2-10x

\frac{d}{d x} (x^{2} - 10 x)

fläche y=2x^2,y=2x+6,x=-2

a re a y = 2 x^{2}, y = 2 x + 6, x = - 2

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

d er i v a t i v e f (x) = (3 x - 2)^{2} (x^{5} - x^{2})^{3}

fläche x^2-3x,3x+7

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