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Beliebt Rechnen >

derivative of tan(pi/2 x)

Lösung

\frac{d}{d x} (tan (\frac{π}{2} x))

Lösung

sec^{2} (\frac{π x}{2}) \frac{π}{2}

Schritte zur Lösung

\frac{d}{d x} (tan (\frac{π}{2} x))

Vereinfache

tan (\frac{π}{2} x) : tan (\frac{π x}{2})

= \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

integral of sec^3(x)tan^3(x)

\int sec^{3} (x) tan^{3} (x) d x

y^'+(1-1/x)y=x^2

y^{^{'}} + (1 - \frac{1}{x}) y = x^{2}

derivative 3/(x-2)

d er i v a t i v e \frac{3}{x - 2}

integral of (x^2)/((sqrt(x^2+9))^3)

\int \frac{x ^{2}}{( x ^{2} + 9 ) ^{3}} d x

limit as x approaches 4 of sqrt(x)

x \to 4 lim (x)