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Beliebt Rechnen >

derivative of (x-5sin(x))

Lösung

\frac{d}{d x} ((x - 5) sin (x))

Lösung

sin (x) + cos (x) (x - 5)

Schritte zur Lösung

\frac{d}{d x} ((x - 5) sin (x))

Wende die Produktregel an:

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

f = x - 5, g = sin (x)

= \frac{d}{d x} (x - 5) sin (x) + \frac{d}{d x} (sin (x)) (x - 5)

\frac{d}{d x} (x - 5) = 1

\frac{d}{d x} (sin (x)) = cos (x)

= 1 \cdot sin (x) + cos (x) (x - 5)

Vereinfache

= sin (x) + cos (x) (x - 5)

Graph

Beliebte Beispiele

sum from n=0 to infinity of 1/(1.5^n)

integral of-x^2-2x

integral of 1/(e^{6x)}

(dP)/(dt)=50P-1/10 P

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