1. Use implicit differentiation to find if y? = x*siny. 2. Find the value of given the equation 6x³ + 3x³y + 3y? = 9 at the point (1,1). 3. Let 5x3 – 2x?y + 2y² = 9. Find if = 3,x = 1, and y = 1. dt dt 4. Let A =bh. Find A if = -2, b = 3, = -1,h = 5. dt dt 5. Suppose that a 15 foot ladder is leaning against a building and that the base of the ladde sliding away from the building at a rate of 3 feet per second. How fast is the top of the l sliding down the building when the ladder is 10 feet from the base of the building?