MHT CET · Maths · Application of Derivatives
The maximum value of \(x^{2 / 3}+(x-2)^{2 / 3}\) is
- A 0
- B 2
- C \(2^{\frac{2}{3}}\)
- D 1
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\(f(x) = x^{2/3} + (x-2)^{2/3}\) \(f'(x) = \frac{2}{3}x^{-1/3} + \frac{2}{3}(x-2)^{-1/3}\)
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