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Beliebt Rechnen >

derivative of tan(sin(sqrt(5x)))

Lösung

\frac{d}{d x} (tan (sin (5 x)))

Lösung

\frac{5 sec ^{2} ( sin ( 5 x ) ) cos ( 5 x )}{2 x}

Schritte zur Lösung

\frac{d}{d x} (tan (sin (5 x)))

Vereinfache

tan (sin (5 x)) : tan (sin (5 x))

= \frac{d}{d x} (tan (sin (5 x)))

Wende die Kettenregel an:

sec^{2} (sin (5 x)) \frac{d}{d x} (sin (5 x))

= sec^{2} (sin (5 x)) \frac{d}{d x} (sin (5 x))

\frac{d}{d x} (sin (5 x)) = \frac{5 cos ( 5 x )}{2 x}

= sec^{2} (sin (5 x)) \frac{5 cos ( 5 x )}{2 x}

Multipliziere Brüche:

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

= \frac{5 sec ^{2} ( sin ( 5 x ) ) cos ( 5 x )}{2 x}

Graph

Beliebte Beispiele

integral of 6x^6-x

\int 6 x^{6} - x d x

derivative of sqrt(cos(5x))

\frac{d}{d x} (cos (5 x))

integral of (x^2-4x+3)/(x^3+2x^2+x)

\int \frac{x ^{2} - 4 x + 3}{x ^{3} + 2 x ^{2} + x} d x

limit as z approaches 2 of sqrt(7z^2+14z-7)

z \to 2 lim (7 z^{2} + 14 z - 7)

integral of 1/((x^2+3x-4))

\int \frac{1}{( x ^{2} + 3 x - 4 )} d x