AP EAMCET · Maths · Application of Derivatives
What is the value of \(\sqrt[3]{26}\) corrected up to three decimal places?
- A 2.998
- B 2.844
- C 2.962
- D 2.823
Answer & Solution
Correct Answer
(C) 2.962
Step-by-step Solution
Detailed explanation
Let \(y=f(x)=x^{1 / 3}\) \[ \begin{aligned} x+\Delta x & =26 \\ 27+\Delta x & =26 \quad[\because \text { let } x=27] \end{aligned} \] \[ \Delta x=-1 \] We have, \(\quad y=x^{1 / 3}\) Differentiate w.r.to ' \(x\) '…
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