TS EAMCET · Maths · Differentiation
If \(x=3 \sqrt{2} \cos ^3 \theta\) and \(y=4 \tan ^2 \theta\) then \(\left(\frac{d y}{d x}\right)_{\theta=\frac{\pi}{4}}=\)
- A \(\frac{32 \sqrt{2}}{9}\)
- B \(\frac {16}{9}\)
- C \(-\frac {16}{9}\)
- D \(\frac {32}{9}\)
Answer & Solution
Correct Answer
(D) \(\frac {32}{9}\)
Step-by-step Solution
Detailed explanation
\(x=3 \sqrt{2} \cos ^3 \theta\) \(\begin{aligned} & \frac{d x^{\prime}}{d \theta}=3 \sqrt{2} \cdot 3 \cos ^2 \theta(-\sin \theta) \\ & y=4 \tan ^2 \theta\end{aligned}\)…
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