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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x + 4

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 + 4

= 2 x + 4

Graph

Beliebte Beispiele

tangent ((x+1))/((5-x))

t an g e n t \frac{( x + 1 )}{( 5 - x )}

integral of sqrt(1+(x^2-1/(4x^2))^2)

\int 1 + (x^{2} - \frac{1}{4 x ^{2}})^{2} d x

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

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

steigung y=3x^2+2x+9

s l o p e y = 3 x^{2} + 2 x + 9

sum from n=1 to infinity of (-1)^nn

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