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Let h(x) = f(x) – (f(x))2 + (f(x))3 for every real number x. Then
  • a)
    h is increasing whenever f is increasing
  • b)
    h is increasing whenever f is decreasing
  • c)
    h is decreasing whenever f is decreasing
  • d)
    nothing can be said in general.
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
Let h(x) = f(x) – (f(x))2 + (f(x))3 for every real number x. The...
We have
Note that h'(x) <0 whenever f'(x) <0 and h'(x) >0 whenever f'(x) >0 , thus, h (x) increases (decreases) whenever f (x) increases (decreases).
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Let h(x) = f(x) – (f(x))2 + (f(x))3 for every real number x. Thena)h is increasing whenever f is increasingb)h is increasing whenever f is decreasingc)h is decreasing whenever f is decreasingd)nothing can be said in general.Correct answer is option 'A,C'. Can you explain this answer?
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Let h(x) = f(x) – (f(x))2 + (f(x))3 for every real number x. Thena)h is increasing whenever f is increasingb)h is increasing whenever f is decreasingc)h is decreasing whenever f is decreasingd)nothing can be said in general.Correct answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let h(x) = f(x) – (f(x))2 + (f(x))3 for every real number x. Thena)h is increasing whenever f is increasingb)h is increasing whenever f is decreasingc)h is decreasing whenever f is decreasingd)nothing can be said in general.Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let h(x) = f(x) – (f(x))2 + (f(x))3 for every real number x. Thena)h is increasing whenever f is increasingb)h is increasing whenever f is decreasingc)h is decreasing whenever f is decreasingd)nothing can be said in general.Correct answer is option 'A,C'. Can you explain this answer?.
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