derivative of e^{sin(3x})

解答

\frac{d}{d x} (e^{s i n (3 x)})

e^{s i n (3 x)} cos (3 x) \cdot 3

求解步骤

\frac{d}{d x} (e^{s i n (3 x)})

使用连锁律:

e^{s i n (3 x)} \frac{d}{d x} (sin (3 x))

= e^{s i n (3 x)} \frac{d}{d x} (sin (3 x))

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

= e^{s i n (3 x)} cos (3 x) \cdot 3

y^{^{'}} - 2 y = 2 - 4 x

\frac{\partial}{\partial x} (\frac{- 18 x}{( x - y ) ^{4}})

f (x) = \frac{100}{x ^{5}}

\frac{d}{d x} ((x - 1) ∣ x - 1 ∣)

\int_{1}^{4} 6 t ln (t) d t