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

Lösung

ableitung von

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

8 x - 10

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

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

= 1 \cdot (4 x + 2) + 4 (x - 3)

Vereinfache

1 \cdot (4 x + 2) + 4 (x - 3) : 8 x - 10

= 8 x - 10

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

\int_{- 2}^{2} x + 2 d x

d er i v a t i v e f (x) = (\frac{x - 4}{x + 4})^{4}

\int \frac{( x + 6 )}{( x + 7 )} d x

\frac{d}{d y} (2 x - y)