AP EAMCET · Maths · Application of Derivatives
If , where . Then is increasing in the interval
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
gx=16f3x2-1+12f1-x2 ⇒g'x=16f'3x2-1·6x+12f'1-x2·-2x ⇒g'x=xf'3x2-1-f'1-x2 For g(x) to be increasing function ⇒g'x=xf'3x2-1-f'1-x2>0 So,if x>0 ⇒f'3x2-1-f'1-x2>0 ⇒f'3x2-1>f'1-x2 ⇒3x2-1>1-x2 ⇒4 x2>2…
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