derivative e^{3xcos(2x)}

解答

导数

e^{3 x c o s (2 x)}

e^{3 x c o s (2 x)} \cdot 3 (cos (2 x) - 2 x sin (2 x))

求解步骤

\frac{d}{d x} (e^{3 x c o s (2 x)})

使用连锁律:

e^{3 x c o s (2 x)} \frac{d}{d x} (3 x cos (2 x))

= e^{3 x c o s (2 x)} \frac{d}{d x} (3 x cos (2 x))

\frac{d}{d x} (3 x cos (2 x)) = 3 (cos (2 x) - 2 x sin (2 x))

= e^{3 x c o s (2 x)} \cdot 3 (cos (2 x) - 2 x sin (2 x))

d er i v a t i v e y = - \frac{3}{x} + \frac{2}{x ^{3}}

\int \frac{7 - x ^{2}}{3 x ^{3} + x} d x

t an g e n t f (x) = x^{2} + x, at a = 5

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