AP EAMCET · Maths · Differentiation
If \(x=4 \cos ^3 \theta\) and \(y=3 \sin ^2 \theta\), then \(\frac{d^2 y}{d x^2}\) at \(\theta=\frac{\pi}{4}\), is
- A \(\frac{1}{3}\)
- B \(\frac{1}{6}\)
- C \(\frac{-1}{6}\)
- D \(\frac{-1}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{6}\)
Step-by-step Solution
Detailed explanation
Given, \(x=4 \cos ^3 \theta\)...(i) and \(y=3 \sin ^2 \theta\)...(ii) Differentiating Eq. (i) and Eq. (ii) w. r. t. \(t \theta\)…
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