MHT CET · Maths · Application of Derivatives
The function \(x^5-5 x^4+5 x^3-10\) has a maximum, when \(x\) is equal to
- A \(0\)
- B \(1\)
- C \(2\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
\(f'(x) = 5x^4 - 20x^3 + 15x^2\) \(5x^2(x^2 - 4x + 3) = 0 \implies 5x^2(x-1)(x-3) = 0\)
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