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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 dydx.

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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 dydx= Slope of the x-axis = 0

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