2a. 3a. l" ran-9:91 Each derivative represents the first principles definition for some function fix). State the function. ,a _ . 3(x+h)3x r _ . {x+h]2r-x2 {(x) Eggh b. f(x) LIEh . 3_ 3 . h)2_x2 ' = 1 w d. t = -51 (\" f (r) #33] ,, f (x) Flam ,, 5 5 . \" . v'x+hvrz_c .' _ 1+h r i' = f (x) LIEh f. f (x) imph Use the First Principle Method to determine the derivative of fix) = 7 )8. What slope of the tangent at x = 5? Write the equation of the line for the tangent. Use the First Principle Method to determine the derivative of fix) 2 {2x 1F. Hint: expand the binomial first. What slope of the tangent at x z 6? Write the equation of the line for the tangent. Use the First Principle Method to determine the derivative of f(x = l x? The height of a soccer ball after it is kicked into the air is given bv hit) = 41.1%2 + 3.5t + 1, where h is the height, in meters, and t is the time, in seconds. Use the First Principle Method to determine the rate of change of the height of the soccer ball at time t. Determine the rate of change of the height of the soccer ball at I15 5. When does the ball momentarilv stop? What is the height of the ball at this time. Write your own equation in the form v = aix hi2 + k, where a, h, and it cannot equal zero (0). Use the First Principle Method to determine the rate of change. Select a value of x then calculate the slope of the tangent. Write the equation of the of the line of the tangent