Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. xy = 2

a. Find dy/dt, when x = 4, given that dx/dt = 13.
b. Find dx/dt, when x = 1, given that dy/dt = -9.

a.

b.

Step-by-step explanation:

To solve this question, we apply implicit differentiation.

xy = 2

Applying the implicit differentiation:

a. Find dy/dt, when x = 4, given that dx/dt = 13.

x = 4

So

Then

b. Find dx/dt, when x = 1, given that dy/dt = -9.

x = 1

So

Then

the answer is a

step-by-step explanation:

because if you put 1 in to the square root of x it equals 300.