Question

# If the tangent line at a point (x, y) on the curve y = f(x) is parallel to x-axis, then write the value of $\frac{dy}{dx}$.

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Solution

## The slope of the x-axis is 0. Also, the tangent at a point (x, y) on the curve y = f(x) is parallel to the x-axis. ∴ Slope of the tangent $\left(\frac{dy}{dx}\right)$= Slope of the x-axis = 0

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