derivative of 5sin(x-sin(5x))

解答

\frac{d}{d x} (5 sin (x) - sin (5 x))

5 cos (x) - cos (5 x) \cdot 5

求解步骤

\frac{d}{d x} (5 sin (x) - sin (5 x))

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 sin (x)) - \frac{d}{d x} (sin (5 x))

\frac{d}{d x} (5 sin (x)) = 5 cos (x)

\frac{d}{d x} (sin (5 x)) = cos (5 x) \cdot 5

= 5 cos (x) - cos (5 x) \cdot 5

in v erse l a pl a ce \frac{e ^{- 6 s}}{s ^{2} + 2 s - 8}

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

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d er i v a t i v e f (x) = ln (\frac{x - 2}{x + 1})

\int x (7 - y)