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A point is moving on $y = 4 - 2 x^{2} .$ The x co-ordinate 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

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15 units/sec.

10 units/sec.

20 units/sec.

5 units/sec.

answer is D.

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Detailed Solution

$\frac{dx}{dt} = - 5 x = 1 y = 2 y = 4 - 2 x^{2} \Rightarrow \frac{dy}{dt} = - 4 x \frac{dr}{dt} = - 4 (1) (- 5) = 20$

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