MHT CET · Maths · Application of Derivatives
The approximate value of \(\sqrt[3]{64 \cdot 04}\) is
- A \(4 \cdot 00043\)
- B \(4 \cdot 00076\)
- C \(4 \cdot 00083\)
- D \(4 \cdot 00064\)
Answer & Solution
Correct Answer
(C) \(4 \cdot 00083\)
Step-by-step Solution
Detailed explanation
\( \sqrt[3]{x+\Delta x} \approx x^{1/3} + \frac{1}{3}x^{-2/3}\Delta x \) \( \sqrt[3]{64.04} \approx 64^{1/3} + \frac{1}{3}(64)^{-2/3}(0.04) \)
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