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Let f(x) = 
then f decrease in the interval (x1, x2)
then f decrease in the interval (x1, x2)- a)
- b)( - 2 , - 1 )
- c)( 1 ,2 )
- d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let f(x) =then f decrease in the interval (x1,x2)a)b)( - 2 , - 1 )c)( ...
f(x) = ∫ex(x−1)(x−2)dx
For decreasing function ,f′(x)<0,f′(x)<0
⇒ex(x−1)(x−2) < 0
⇒(x−1)(x−2) < 0
⇒ ex(x−1)(x−2) < 0
⇒ (x−1)(x−2) < 0
⇒1 < x < 2,
⇒1 < x < 2,
∵ ex > 0 ∀ x ∈ R
Most Upvoted Answer
Let f(x) =then f decrease in the interval (x1,x2)a)b)( - 2 , - 1 )c)( ...
f(x) = ∫ex(x−1)(x−2)dx
For decreasing function ,f′(x)<0,f′(x)<0
⇒ex(x−1)(x−2) < 0
⇒(x−1)(x−2) < 0
⇒ ex(x−1)(x−2) < 0
⇒ (x−1)(x−2) < 0
⇒1 < x < 2,
⇒1 < x < 2,
∵ ex > 0 ∀ x ∈ R
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Let f(x) =then f decrease in the interval (x1,x2)a)b)( - 2 , - 1 )c)( 1 ,2 )d)Correct answer is option 'C'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let f(x) =then f decrease in the interval (x1,x2)a)b)( - 2 , - 1 )c)( 1 ,2 )d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f(x) =then f decrease in the interval (x1,x2)a)b)( - 2 , - 1 )c)( 1 ,2 )d)Correct answer is option 'C'. Can you explain this answer?.
Let f(x) =then f decrease in the interval (x1,x2)a)b)( - 2 , - 1 )c)( 1 ,2 )d)Correct answer is option 'C'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let f(x) =then f decrease in the interval (x1,x2)a)b)( - 2 , - 1 )c)( 1 ,2 )d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f(x) =then f decrease in the interval (x1,x2)a)b)( - 2 , - 1 )c)( 1 ,2 )d)Correct answer is option 'C'. Can you explain this answer?.
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