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How we check whether x/1+x^2 is incresung or decreasing function

How we check whether x/1+x^2 is incresung or decreasing function

Grade:12

1 Answers

Amit
405 Points
3 years ago
Hi there.. Take derivate of the above function and check where it is positive and where it is negative.. For the above question take derivative it will come out to be (1-x²)/1+x²... It will increasing in x€(-1,1) and for outside this interval it is decreasing..

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