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Beliebt Rechnen >

derivative xtan(x)

Lösung

ableitung von

x tan (x)

Lösung

tan (x) + x sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (x tan (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = tan (x)

= \frac{d x}{d x} tan (x) + \frac{d}{d x} (tan (x)) x

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

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

= 1 \cdot tan (x) + sec^{2} (x) x

Vereinfache

= tan (x) + x sec^{2} (x)

Graph

Beliebte Beispiele

integral from pi/2 to pi of sin^2(x)

\int_{\frac{π}{2}}^{π} sin^{2} (x) d x

t an g e n t 5 - 4 x^{3}

laplacetransform {y}

l a pl a ce t r an s f or m {y}

integral of (3x^2sqrt(16+y^2))/y

\int \frac{3 x ^{2} 16 + y ^{2}}{y}

derivative 2/(2s^2)

d er i v a t i v e \frac{2}{2 s ^{2}}