a point p is moving on the curve y=2x . the x co-ordinate of p is increasing at the rate of 4 units per second. find the rate at which the y co ordinate is increasing when the point is at (2,8)
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A point P is moving on the curve y = 2x² .
it is given that, x coordinate of P is increasing at the rate of 4 units per second.
e.g., dx/dt = 4 unit/sec
we have to find the rate of y coordinate is increasing when the point is at (2,8)
differentiating curves with respect to t,
dy/dt = 4x dx/dt
at (2, 8) , dy/dt = 4 × 2 × 4 = 32 unit /sec
hence, rate of increasing of y - coordinate is 32 unit/second
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