TS EAMCET · Maths · Application of Derivatives
If a cubic function has maximum value at and has minimum value at then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given:- fx=ax3+bx2-185x+1910 ....1 ∴ f'x=3ax2+2bx-185 ...2 Also, given that fx has maximum value 10 at x=-3 ∴ f'-3=3a-32+2b-3-185=0 ⇒ 27a-6b=185 . ...3 Also, fx has minimum value at x=2 ∴ f'2=0…
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