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Question
Write the value of \[\frac{dy}{dx}\] , if the normal to the curve y = f(x) at (x, y) is parallel to y-axis ?
Solution
The slope of the y-axis is \[\infty\].
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 = \[\infty\] \[\Rightarrow\frac{dy}{dx}=\text { Slope of the tangent }=\frac{- 1}{\text { Slope of the normal }}=\frac{- 1}{\infty}=0\]
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