Teaching EMRS TGT Mock Test 2023 Mathematics Differential Calculus Evaluation of derivatives

If x = sin t - t cos t and y = t sin t + cos t, then what is \(\rm \frac{dy}{dx}\) at point \(\rm t=\frac{\pi}{2}\)?

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0
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\(\rm \frac{\pi}{2}\)
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\(-\rm \frac{\pi}{2}\)
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1
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