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CGP EDU Academic Team
Published on: August 13, 2026
Let f(x) be a positive function, increasing function in interval I. Now φ (x) = 3f 4 – 4f 3 –36f 2 –8 is decreasing in I. Another function G(x) = f 4 + f 2 – 20 and h(x) = 2f 3 –3f 2 – 36f + 6.
(i) Find the range of f such that φ (x) is decreasing in I-
Text Solution
Verified by ExpertsThe correct answer is:
0
Ans.
(i)
Sol. (0, 3)
(ii)
Sol. G(x) is positive as well as negative in interval I
(iii)
Sol. h(x) is decreasing in interval I
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