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Find the interval in which the function f(x) = x-1/x is increasing?

Find the interval in which the function f(x) = x-1/x is increasing?

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
10 years ago
f(x) = x - 1/x
f`(x) = 1 + 1/x^2
for increasing the f`(x) > 0
Here, f`(x) > 0 for all values of x.
Hence, it is increasing in its entire domain.
Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty

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