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Beliebt Rechnen >

derivative of cos((npix/2))

Lösung

\frac{d}{d x} (cos (\frac{nπ x}{2}))

Lösung

- \frac{πn sin ( \frac{πn x}{2} )}{2}

Schritte zur Lösung

\frac{d}{d x} (cos (\frac{nπ x}{2}))

Wende die Kettenregel an:

- sin (\frac{nπ x}{2}) \frac{d}{d x} (\frac{nπ x}{2})

= - sin (\frac{nπ x}{2}) \frac{d}{d x} (\frac{nπ x}{2})

\frac{d}{d x} (\frac{nπ x}{2}) = \frac{πn}{2}

= - sin (\frac{nπ x}{2}) \frac{πn}{2}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{πn sin ( \frac{πn x}{2} )}{2}

Graph

Beliebte Beispiele

integral from 0 to 1 of x*2x

\int_{0}^{1} x \cdot 2 x d x

derivative 6^{2^{x^2}}

d er i v a t i v e 6^{2^{x^{2}}}

integral from 0 to 1 of (2x)/((x^2+1)^3)

\int_{0}^{1} \frac{2 x}{( x ^{2} + 1 ) ^{3}} d x

integral of (2/(1+2x))

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

d/(dy)((3x)/(2y))

\frac{d}{d y} (\frac{3 x}{2 y})