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Beliebt Rechnen >

derivative of tan((pix/2))

Lösung

\frac{d}{d x} (tan (\frac{π x}{2}))

Lösung

sec^{2} (\frac{π x}{2}) \frac{π}{2}

Schritte zur Lösung

\frac{d}{d x} (tan (\frac{π x}{2}))

Wende die Kettenregel an:

sec^{2} (\frac{π x}{2}) \frac{d}{d x} (\frac{π x}{2})

= sec^{2} (\frac{π x}{2}) \frac{d}{d x} (\frac{π x}{2})

\frac{d}{d x} (\frac{π x}{2}) = \frac{π}{2}

= sec^{2} (\frac{π x}{2}) \frac{π}{2}

Graph

Beliebte Beispiele

derivative y=3+(12)/(2-x)

d er i v a t i v e y = 3 + \frac{12}{2 - x}

derivative 10x(x^2+7)^4

d er i v a t i v e 10 x (x^{2} + 7)^{4}

derivative ((x+4)/(x-4))^5

d er i v a t i v e (\frac{x + 4}{x - 4})^{5}

integral of 1/(2-x^2)

\int \frac{1}{2 - x ^{2}} d x

sum from n=4 to infinity of 8/(n^2-1)

n = 4 \sum \infty \frac{8}{n ^{2} - 1}