2a. 3a. PD'P'P' Each derivative represents the first principles definition for some function fix). State the function. ,- _ . ELY-H1) - 3x , _ . {x+h)2 - x2 f(x) illIEh b. f(x) Augh ,. _ . 4ix+h)3-4x3 , _ _ . ix+h)2-x2 r (x) - gig,1 d. r (x) - iph 5 5 fix) = ie f- fix) = its"5' Use the First Principle Method to determine the derivative of fix) = 7 it}. What slope of the tangent at x = 6? Write the equation of the line for the tangent. Use the First Principle Method to determine the derivative of fix) : i221 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 fix) = i The height of a soccer ball after it is kicked into the air is given by hit} = ~4.9t2 + 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 ofthe height ofthe soccer ball at 0.5 5. When does the ball momentarilyr stop? What is the height of the ball at this time. Write your own equation in the form v = aix h)2 + 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 ofthe tangent