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how to find whether the given curve has vertical tangent at given point(x,y)

how to find whether the given curve has vertical tangent at given point(x,y)

Grade:6

2 Answers

Arun
25763 Points
2 years ago

 A vertical tangent touches the curve at a point where the gradient (slope) of the curve is infinite and undefined.

 

To find the vertical tangent in calculus and the gradient of a curve, you need to differentiate the function that describes the curve. For example, if the curve is y = √(x – 2), then differentiating this equation to find dy/dx will give you the gradient of the curve. Next, find a value of x that makes dy/dx infinite. The vertical tangent of the curve is a vertical line at this value of x.

Deepak Kumar Shringi
askIITians Faculty 4405 Points
2 years ago
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