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**AP Calculus help!!!**

## Homework Statement

consider y^2=2+xy

a. show that dy/dx = y/2y-x

b. find all pints (x,y) on the curve where the line tangent to the curve has slope 1/2

c. show that there are no points (x,y) on the curve where the line tangent to the curve is horizontal

d. Let x and y be functions of time t that are related by the equation y^2=2+xy. At time t=5, the value of y is 3 and dy/dt=6. Find the value of dx/dt at time t=5.

## Homework Equations

chain rule, implicit differentiation

## The Attempt at a Solution

for this did part a, but I am really confused for b, c and d

**Thanks in advance for all your help.**

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