RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 9 of MCQ

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Mark the correct alternative in the following:

Let f(x) = tan–1 (g(x)), where g(x) is monotonically increasing for Then, f(x) is


(i)The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on (a,b) is that f’(x)>0 for all x(a,b)

Given:- f(x) = tan–1 (g(x))

For increasing function


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