Hi there, the following questions are on derivatives. Can someone please give me a thorough explanation on each of the questions on the attached pics? I find these questions super confusing.

(6 points) 5. Use implicit differentiation to prove that the curve x* + 3 = (2x\" + 2y\" x) (see exercise 27 of page 187 of the textbook) has a vertical tangent line at the point (1,0). 3. A softball diamond is a square whose sides are 18 m long. Suppose that a player running from first to second base has a speed of 7.5 m/s at the instant she is 3 m from second base. At what rate is the player's distance from home plate changing at that instant? Hint. Draw a diagram and locate the variables that change with respect to time