Explanation
Consider the given equation of the curve.
y=\sin x ……(1)
On differentiating equation (1) with respect to x, we get
\dfrac{dy}{dx}=\cos x
When given curve crosses the x-axis then.
y=0
\sin x=0
x=0
Therefore,
{{\left( \dfrac{dy}{dx} \right)}_{y=0}}=\cos 0
{{\left( \dfrac{dy}{dx} \right)}_{y=0}}=1
Hence, this is the answer.
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