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find the point on the curve y=x/1+x^2 where tangent to the curve has the greatest slope

Asked by Rzainabafra - 17th March 2017, 5:49 PM
Answered by Expert


begin mathsize 16px style Take space first space derivative space then space you space will space get space it space as space fraction numerator 1 minus straight x squared over denominator open parentheses 1 plus straight x squared close parentheses squared end fraction
Equate space it space to space zero.
You space will space get space straight x space as space 1 space or space minus 1.
Find space second space derivative.
Then space find space value space of space the space funcion space at space 1 space and space minus 1.
Check space it space for space maxima space and space minima space at space these space points. end style

Answered by Expert 17th March 2017, 6:11 PM
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