derivative of (sin(3x)/(cos(3x)))

Lösung

\frac{d}{d x} (\frac{sin ( 3 x )}{cos ( 3 x )})

sec^{2} (3 x) \cdot 3

Schritte zur Lösung

\frac{d}{d x} (\frac{sin ( 3 x )}{cos ( 3 x )})

Vereinfache

\frac{sin ( 3 x )}{cos ( 3 x )} : tan (3 x)

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x) = 3

= sec^{2} (3 x) \cdot 3

x \to 2 lim (e^{2 x - x^{2}})

\int y e^{z} d z

\int \frac{x ^{4} + 1}{x ^{3}} d x

x \to 3 lim (\frac{2}{( x - 3 ) ^{3}})

\int \frac{1}{x ^{2} 5 x ^{2}} d x