Let r(t) = 4: + g. (a) Simplify the following difference quotient as much as possible Lia-r0) = h(4th+9th-4tA29)/(h+(t+l 2 (b) Use your result from (a) and the limit definition of the derivative to calculate , _. r(t+h)r(r)_ A A r(t) 111313) h ((4t 29)/(t 2)) 2 (c) Use your answer from part (b) to evaluate r'(1) = 5 I (d) Find the equation of the tangent line to the curve at the point (1, r(1)). FZ