JEE Exam > JEE Questions > The function f(x) = ax, 0 < a < 1 is...
Start Learning for Free
The function f(x) = ax, 0 < a < 1 is
- a)increasing
- b)strictly decreasing on R
- c)neither increasing or decreasing
- d)decreasing
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The function f(x) = ax, 0 < a < 1 isa)increasingb)strictl...
f(x) = ax
Taking log bth the sides, log f(x) = xloga
f’(x)/ax = loga
f’(x) = ax loga {ax > 0 for all x implies R,
for loga e<a<1 that implies loga < 0}
Therefore, f’(x) < 0, for all x implies R
f(x) is a decreasing function.
Taking log bth the sides, log f(x) = xloga
f’(x)/ax = loga
f’(x) = ax loga {ax > 0 for all x implies R,
for loga e<a<1 that implies loga < 0}
Therefore, f’(x) < 0, for all x implies R
f(x) is a decreasing function.
Free Test
FREE
| Start Free Test |
Community Answer
The function f(x) = ax, 0 < a < 1 isa)increasingb)strictl...
f(x) = ax
Taking log bth the sides, log f(x) = xloga
f’(x)/ax = loga
f’(x) = ax loga {ax > 0 for all x implies R,
for loga e<a<1 that implies loga < 0}
Therefore, f’(x) < 0, for all x implies R
f(x) is a decreasing function.
Taking log bth the sides, log f(x) = xloga
f’(x)/ax = loga
f’(x) = ax loga {ax > 0 for all x implies R,
for loga e<a<1 that implies loga < 0}
Therefore, f’(x) < 0, for all x implies R
f(x) is a decreasing function.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer?
Question Description
The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. 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 The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer?.
The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. 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 The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The function f(x) = ax, 0 < a < 1 isa)increasingb)strictly decreasing on Rc)neither increasing or decreasingd)decreasingCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup