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Beliebt Rechnen >

derivative tan(sqrt(3t))

Lösung

ableitung von

tan (3 t)

Lösung

\frac{3 sec ^{2} ( 3 t )}{2 t}

Schritte zur Lösung

\frac{d}{d t} (tan (3 t))

Vereinfache

tan (3 t) : tan (3 t)

= \frac{d}{d t} (tan (3 t))

Wende die Kettenregel an:

sec^{2} (3 t) \frac{d}{d t} (3 t)

= sec^{2} (3 t) \frac{d}{d t} (3 t)

\frac{d}{d t} (3 t) = \frac{3}{2 t}

= sec^{2} (3 t) \frac{3}{2 t}

Multipliziere Brüche:

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

= \frac{3 sec ^{2} ( 3 t )}{2 t}

Graph

Beliebte Beispiele

integral of 2tsqrt(2t-3)

\int 2 t 2 t - 3 d t

x^'(t)=(1/3 x)(1-x/3),x(0)=6

x^{^{'}} (t) = (\frac{1}{3} x) (1 - \frac{x}{3}), x (0) = 6

integral from 1 to 2 of 21x^24^{x^3}

\int_{1}^{2} 21 x^{2} 4^{x^{3}} d x

integral of 2x^2y+4

\int 2 x^{2} y + 4 d y

derivative of 4x^2+2

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