AP EAMCET · Maths · Application of Derivatives
Find the minimum value of when .
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given: xy=6 ⇒y=6x ⇒fx,y=2x+3y ⇒fx=2x+3×6x ⇒fx=2x+18x ⇒f'x=2-18x2 Put f'x=0 for maximum or minimum ⇒0=2-18x2 ⇒x2=9 ⇒x=±3 ⇒f''x=0--18×2x3 ⇒f''3=3633>0 ⇒f''(3)>0 At x=3 ,fx is minimum The…
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