(\partial)/(\partial x)(-0.1cos(6x))

解答

\frac{\partial}{\partial x} (- 0.1 \cdot cos (6 \cdot x))

0.6 sin (6 x)

求解步骤

\frac{\partial}{\partial x} (- 0.1 cos (6 x))

将常数提出:

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

= - 0.1 \frac{\partial}{\partial x} (cos (6 x))

使用连锁律:

- sin (6 x) \frac{\partial}{\partial x} (6 x)

= - sin (6 x) \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= - 0.1 (- sin (6 x) \cdot 6)

化简

= 0.6 sin (6 x)

x \to 0 lim (\frac{- 11 x ^{2} + 9 x}{x})

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\int (\frac{1}{5} x^{5} + \frac{1}{3} x^{4} - x) d x

x \to 0 lim ((1 - 2 x)^{(\frac{1}{x})})

\frac{d}{d x} (ln (10 x^{2} - 8))