derivative of 7sin(337x+(7pi/(18)))

解答

\frac{d}{d x} (7 sin (337 x + \frac{7 π}{18}))

2359 cos (337 x + \frac{7 π}{18})

求解步骤

\frac{d}{d x} (7 sin (337 x + \frac{7 π}{18}))

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (sin (337 x + \frac{7 π}{18}))

使用连锁律:

cos (337 x + \frac{7 π}{18}) \frac{d}{d x} (337 x + \frac{7 π}{18})

= cos (337 x + \frac{7 π}{18}) \frac{d}{d x} (337 x + \frac{7 π}{18})

\frac{d}{d x} (337 x + \frac{7 π}{18}) = 337

= 7 cos (337 x + \frac{7 π}{18}) \cdot 337

化简

= 2359 cos (337 x + \frac{7 π}{18})

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