The diagram shows the graph of the derivative of a function f (x) for 0 f (0) = 0 . Which…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The diagram shows the graph of the derivative of a function f (x) for 0 < x < 4 with f (0) = 0 . Which of the following could be correct statements for y = f (x) ?
- Tangent line to y = f (x) at x = 0 makes an angle of
sec–1 \(\sqrt{5}\) with the x-axis. - f is strictly increasing in (0, 3)
- x = 1 is both an inflection point as well as point of local extremum.
- Number of critical point on y = f (x) is two.
Answer
(A) Tangent line to y = f (x) at x = 0 makes an angle of sec –1 5 with the x-axis., (B) f is strictly increasing in (0, 3), (D) Number of critical point on y = f (x) is two.
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