Answer
Matches $(c)$
Work Step by Step
Given $$\frac{dy}{dx}=\frac{1}{2}\cos x$$
So, we get at $x=0 \Rightarrow \frac{dy}{dx}=\frac{1}{2}\cos (0)=\frac{1}{2} $. This implies that the slope at $x=0$ is $\frac{1}{2}$ and that is shown in (c).
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