AP EAMCET · Maths · Differentiation
If \(x=2 \cos ^3 \theta\) and \(y=3 \sin ^2 \theta\), then \(\frac{d y}{d x}=\)
- A \(-\sec \theta\)
- B \(\cos \theta\)
- C \(-\operatorname{cosec} \theta\)
- D \(\sin \theta\)
Answer & Solution
Correct Answer
(A) \(-\sec \theta\)
Step-by-step Solution
Detailed explanation
\(\frac{dx}{d\theta} = 2 \cdot 3 \cos^2 \theta (-\sin \theta) = -6 \cos^2 \theta \sin \theta\) \(\frac{dy}{d\theta} = 3 \cdot 2 \sin \theta (\cos \theta) = 6 \sin \theta \cos \theta\)…
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