Question

Suppose that z = x3y2, where both x and y are changing with time. At a certain instant when x = 1 and y = 2, x is decreasing at the rate of 2 units/s, and y is increasing at the rate of 3 units/s. How fast is z changing at this instant? Is z increasing or decreasing?
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Answer 1

Suppose that z = x3y2, where both x and y are changing with time. At a certain instant when x = 1 and y = 2, x is decreasing at the rate of 2 units/s, and y is increasing at the rate of 3 units/s. How fast is z changing at this instant? Is z increasing or decreasing?