Differentiation and applications ( *** )

Please answer the questions on the attachment below. ( ON PAPER/WRITTEN ) ( Please keep solving and explanation seperate)

Parametric Differentiation: In many later situations, a curve will be specied by two equations giving a: and y in terms of some third variable t, called a parameter. For example, a: : 2t, 3; = t2 species the parabola y = i222, as can be seen by eliminating i from the two equations. In this situation it is very simple to calculate dy/drc directly using parametric dierentiation. The formula below is another version of the chain rule, because 'the dt's just cancel out'. _ dy _ (y/cit 13 PAHAMEI'RIC FUNCTIONS. d9: _ d3 #11 WORKED EXERCISE In the exainple above, 3% = g = t. Question _ 1 2 _ a . If x 594: and y = e\" e 7, calculate 3y usmg the method above. Give your answer in the simplest form