For the following equations connecting x and y, if the rate of change of y is 4 units s^-1,
That says that
You didn't put in any parentheses, so I can't tell whether you meant
or . I'll assume
Write the square root as the power:
Take the derivative with respect to t
Substitute 4 for and simplify
Bring the negative exponent to the denominator as a positive exponent
Change the power to a square root
find the
rate of change of x at the given instant: y = 3
Go back to
Substitute y=3 and solve for x:
Square both sides:
Solve for x
Substitute that value of x in
and solve for .
Edwin