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Q.

A point is moving on y = 4 - 2x² . The x-coordinates of the point is decreasing at the rate of 5 units per second. Then the rate at which y coordinate of the point is changing when the point is at (1, 2) is (in unit/sec)

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answer is 20.

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Detailed Solution

$\frac{dy}{dt} = - 4 x \frac{dx}{dt} \Rightarrow \frac{dy}{dt} = 20 units / \sec (g i v e n t h a t \frac{dx}{dt} = - 5, x = 1)$

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