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$$$\frac{\theta}{2}$$$ 的導數
您的輸入
求$$$\frac{d}{d\theta} \left(\frac{\theta}{2}\right)$$$。
解答
套用常數倍法則 $$$\frac{d}{d\theta} \left(c f{\left(\theta \right)}\right) = c \frac{d}{d\theta} \left(f{\left(\theta \right)}\right)$$$，使用 $$$c = \frac{1}{2}$$$ 與 $$$f{\left(\theta \right)} = \theta$$$：
$${\color{red}\left(\frac{d}{d\theta} \left(\frac{\theta}{2}\right)\right)} = {\color{red}\left(\frac{\frac{d}{d\theta} \left(\theta\right)}{2}\right)}$$套用冪次法則 $$$\frac{d}{d\theta} \left(\theta^{n}\right) = n \theta^{n - 1}$$$，取 $$$n = 1$$$，也就是 $$$\frac{d}{d\theta} \left(\theta\right) = 1$$$：
$$\frac{{\color{red}\left(\frac{d}{d\theta} \left(\theta\right)\right)}}{2} = \frac{{\color{red}\left(1\right)}}{2}$$因此，$$$\frac{d}{d\theta} \left(\frac{\theta}{2}\right) = \frac{1}{2}$$$。
答案
$$$\frac{d}{d\theta} \left(\frac{\theta}{2}\right) = \frac{1}{2}$$$A
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