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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x + 2

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = x - 1, g = x + 3

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

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

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

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

Vereinfache

1 \cdot (x + 3) + 1 \cdot (x - 1) : 2 x + 2

= 2 x + 2

Graph

Beliebte Beispiele

sum from n=1 to infinity of (0.2)^{n-1}

n = 1 \sum \infty (0.2)^{n - 1}

integral of z^4

\int z^{4} d z

integral from-4 to 4 of 1/x

\int_{- 4}^{4} \frac{1}{x} d x

integral from 0 to 1 of 5x

\int_{0}^{1} 5 x d x

(\partial)/(\partial x)(x^4+yz)

\frac{\partial}{\partial x} (x^{4} + yz)