16) Let f be a function defined on [a, b] such that f (x) > 0, for allx \: \: \epsilon \: \: ( a,b). Then prove that f is an increasing function on (a, b).

Answers (1)

Let's do this question by taking an example
suppose
f(x)= x^3 > 0 , (a.b)
Now, also
f{'}(x)= 3x^2 > 0 , (a,b)
Hence by this, we can say that  f is an increasing function on (a, b)

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