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Beliebt Rechnen >

derivative x-sin(pix)

Lösung

ableitung von

x - sin (π x)

Lösung

1 - cos (π x) π

Schritte zur Lösung

\frac{d}{d x} (x - sin (π x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d x}{d x} - \frac{d}{d x} (sin (π x))

\frac{d x}{d x} = 1

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

= 1 - cos (π x) π

Graph

Beliebte Beispiele

derivative (x+8)^{1/3}

d er i v a t i v e (x + 8)^{\frac{1}{3}}

integral of (x+2)^3

\int (x + 2)^{3} d x

derivative of 2x^5e^x

\frac{d}{d x} (2 x^{5} e^{x})

limit as x approaches 0+of x^2(1+ln(x))

x \to 0 + lim (x^{2} (1 + ln (x)))

derivative f(x)= 2/(x^3)

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