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find the coordinate of the point in the curve y=(1+x2 ),wfere the tangent to the curve has greatest slope?
Dear upendra
y=(1+x2 )
dy/dx =2x
it is clear that at infinity slope is maximum ie tangent is parallel to y axix
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best. Regards, Askiitians Experts Badiuddin
Hi Upendra,
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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