derivative of |sin(6x|)

解答

\frac{d}{d x} (∣ sin (6 x) ∣)

\frac{3 sin ( 12 x )}{∣ sin ( 6 x ) ∣}

求解步骤

\frac{d}{d x} (∣ sin (6 x) ∣)

使用连锁律:

\frac{sin ( 6 x )}{∣ sin ( 6 x ) ∣} \frac{d}{d x} (sin (6 x))

= \frac{sin ( 6 x )}{∣ sin ( 6 x ) ∣} \frac{d}{d x} (sin (6 x))

\frac{d}{d x} (sin (6 x)) = cos (6 x) \cdot 6

= \frac{sin ( 6 x )}{∣ sin ( 6 x ) ∣} cos (6 x) \cdot 6

化简

\frac{sin ( 6 x )}{∣ sin ( 6 x ) ∣} cos (6 x) \cdot 6 : \frac{3 sin ( 12 x )}{∣ sin ( 6 x ) ∣}

= \frac{3 sin ( 12 x )}{∣ sin ( 6 x ) ∣}

\int \frac{1}{x} + x d x

\frac{d y}{d x} = 2 x y + 3 x^{2} e^{x^{2}}

\frac{d}{d a} (cos (a) tan (a))

x \to 1 lim (2 x - 3)

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