Please provide a step by step solution, I am missing basic core concepts and I am lost. Implicit differentiation and computing elasticity.

The yearly demand function for Penn State Bakery cookie trays is given by x2+3p2+5x+6p=222 where p is the wholesale unit price in dollars and x is the quantity demanded each year, measured in units of a thousand. (a) Compute the price, p, when x = 10. Price, p = dollars (b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when X = 10. Do not round your answer. Rate of change of demand, X' = thousands of units per dollar (c) Compute the elasticity of demand when X = 10. Do not round your answer. Elasticity of Demand 2