TS EAMCET · Maths · Application of Derivatives
The local maximum value of the function is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
fx=-x-23x+22 f'x=-x-232x+2-3x-22x+22 =-x-22x+22x-2+3x+2 =x-22x+25x+2 When f'x=0 at x=-25,-2,2 f"x=2x-2x+2x+10+x-22x+10+x-22x+2 Here f"-25<0, so x=-25 is point of local maxima f"-2>0 and f"2=0 Hence, local maximum value of fx=--25-23-25+22=8252×12353
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