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Question

Write the value of dydx, if the normal to the curve y = f(x) at (x, y) is parallel to y-axis.

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Solution

The slope of the y-axis is .
Also, the normal at (x, y) on the curve y = f(x) is parallel to the y-axis.
∴ Slope of the normal = Slope of the y-axis =
dydx=Slope of the tangent=-1Slope of the normal=-1=0

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