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baherus [9]
3 years ago
12

Suppose xy=−4 and dy/dt=−3. Find dx/dt when x=−1.

Mathematics
1 answer:
user100 [1]3 years ago
4 0
When x=-1: \quad (-1)y=-4\qquad\to\qquad y=4\)

Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?

x'y+xy'=0

The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.

From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4

and solve for x'.

Hope that helps!
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