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?
Answers
Answered by
24
we differentiate 'z' with respect to the time.Here,we differentiate it by multiplication method:
Given that when x =1 ,x is decreasing at the rate of 2units /s
It implies that:
=>
when y =2,y is increasing at the rate of 3units/s
=>
Z change at this instant:-
=>
=>
z is decreasing
amitkumar44481:
Great :-)
Answered by
2
Answer:
answer is
-12units/s
z is decreasing
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