1. Considerx2y4x=5 to find its second derivative of y with respect to x, simplify to express it in terms of the variables x & y.

2. Determinedxdy for xsin(y)=y2+3x+5.

3. Find the equation of the tangent line to the hyperbola 6x28y2=1on the point (3, -2).

4. If the variables x & y are differentiable with respect to time, consider the functiony=x to find:

a.dtdy whenx=4ydtdx=3

b.dtdx whenx=25ydtdy=2