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Beliebt Rechnen >

derivative of cos(x-pi/4)

Lösung

\frac{d}{d x} (cos (x - \frac{π}{4}))

Lösung

cos (\frac{π}{4} + x)

Schritte zur Lösung

\frac{d}{d x} (cos (x - \frac{π}{4}))

Vereinfache

cos (x - \frac{π}{4}) : sin (\frac{π}{4} + x)

= \frac{d}{d x} (sin (\frac{π}{4} + x))

Wende die Kettenregel an:

cos (\frac{π}{4} + x) \frac{d}{d x} (\frac{π}{4} + x)

= cos (\frac{π}{4} + x) \frac{d}{d x} (\frac{π}{4} + x)

\frac{d}{d x} (\frac{π}{4} + x) = 1

= cos (\frac{π}{4} + x) \cdot 1

Vereinfache

= cos (\frac{π}{4} + x)

Graph

Beliebte Beispiele

derivative y=4x^2-2x+(-9)

d er i v a t i v e y = 4 x^{2} - 2 x + (- 9)

d/(du)(sqrt(uv))

\frac{d}{d u} (uv)

integral of 7x^{3/4}

\int 7 x^{\frac{3}{4}} d x

derivative (1+cos^2(x))^6

d er i v a t i v e (1 + cos^{2} (x))^{6}

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d er i v a t i v e f (x) = 7 x - 3 x^{2}