Question

Assume that a and y are differentiable functions of t. Find Find dy/dt when x^2+y^2=1 , dx/dt=2, x=1/2

Answer 1

Answer:

-2x/y

Step-by-step explanation:

x²+y²=1

differentiate w.r.t. t on both side

2x dx/dt + 2y dy/dt = 0

2x X 2 + 2y dy/dt = 0 ( dx/dt=2 is given)

dy/dt= -2x/y