CUET · MATHS · PYQ PAPER 2025
If \(x=t^{1 / 2}, y=t^{3 / 2}\), then \(\frac{d y}{d x}=\)
- A 3t
- B t
- C 3
- D 1
Answer & Solution
Correct Answer
(A) 3t
Step-by-step Solution
Detailed explanation
\(\frac{d x}{d t}=\frac{1}{2} t^{-1 / 2}\) \(\frac{d y}{d t}=\frac{3}{2} t^{1 / 2}\) \(\frac{d y}{d x}=\frac{3/2 t^{1/2}}{1/2 t^{-1/2}} = 3t\)
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