derivative e^{cos(3x)}

解答

导数

e^{c o s (3 x)}

- 3 e^{c o s (3 x)} sin (3 x)

求解步骤

\frac{d}{d x} (e^{c o s (3 x)})

使用连锁律:

e^{c o s (3 x)} \frac{d}{d x} (cos (3 x))

= e^{c o s (3 x)} \frac{d}{d x} (cos (3 x))

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \cdot 3

= e^{c o s (3 x)} (- sin (3 x) \cdot 3)

化简

= - 3 e^{c o s (3 x)} sin (3 x)

y^{^{''}} + 4 y^{^{'}} - y = 0

s l o p e (3.5) (- 1.5)

l a pl a ce t r an s f or m t^{n}

(x + 2 y) d y - y d x = 0

x \to 2 lim (x^{3} + 2 x - 5)