Answer:
Explanation:
We have:
Where both x and y are functions of t.
To find our solution, let's first take the derivative of both sides with respect to t:
Expand:
Differentiate. We must differentiate implicitly. Also, for the second term, we must use the product rule. So:
Simplify:
We know that dy/dt is 3 when x is -4 and y is 2.
So, to find dx/dt, substitute 3 for dy/dt, -4 for x, and 2 for y. This yields:
Simplify:
Simplify:
Divide both sides by -1:
最终答案是零 :)