derivative of sin(2cos(x))

解答

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

- 2 cos (2 cos (x)) sin (x)

求解步骤

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

使用连锁律:

cos (2 cos (x)) \frac{d}{d x} (2 cos (x))

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

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

= cos (2 cos (x)) (- 2 sin (x))

化简

= - 2 cos (2 cos (x)) sin (x)

\frac{d}{d x} (\frac{4 x ^{5}}{( 2 x ^{3} - 2 ) ^{3}})

x \to 0 - lim (\frac{1}{x} \cdot e^{\frac{1}{x}})

\frac{d}{d x} (2 x + 3 - x)

\frac{d}{d y} (x - 5 ln ∣ x ∣ + y x)

h \to 0 lim (3)