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find the coordinate of the point in the curve y=(1+x 2 ),wfere the tangent to the curve has greatest slope?

find the coordinate of the point in the curve y=(1+x2 ),wfere the tangent to the curve has greatest slope?

Grade:12

2 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear upendra

y=(1+x2 )

dy/dx  =2x

it is clear that at infinity slope is maximum ie tangent is parallel to y axix


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Badiuddin

askiitian.expert- chandra sekhar
10 Points
11 years ago

Hi Upendra,

y=(1+x2 )

dy/dx = 2x

2x is maximum when x--->∞

the slope of tangent is maximum when x tends to infinity and y also tends to infinity.

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