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Beliebt Rechnen >

d/(dt)(tan(sqrt(5t)))

Lösung

\frac{d}{d t} (tan (5 t))

Lösung

\frac{5 sec ^{2} ( 5 t )}{2 t}

Schritte zur Lösung

\frac{d}{d t} (tan (5 t))

Vereinfache

tan (5 t) : tan (5 t)

= \frac{d}{d t} (tan (5 t))

Wende die Kettenregel an:

sec^{2} (5 t) \frac{d}{d t} (5 t)

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

\frac{d}{d t} (5 t) = \frac{5}{2 t}

= sec^{2} (5 t) \frac{5}{2 t}

Multipliziere Brüche:

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

= \frac{5 sec ^{2} ( 5 t )}{2 t}

Graph

Beliebte Beispiele

tangent y=-6x^2+4

t an g e n t y = - 6 x^{2} + 4

limit as x approaches 0+of ln(x)sqrt(x)

x \to 0 + lim (ln (x) x)

derivative y=(1-y)/(x-1)

d er i v a t i v e y = \frac{1 - y}{x - 1}

limit as x approaches+7 of 2cos(x)

x \to + 7 lim (2 cos (x))

derivative of sqrt(2x^2+4x+7)

\frac{d}{d x} (2 x^{2} + 4 x + 7)