Question 5 [ll] marks) a) Differentiate and simplify each of the following functions with respect to :r . i. f(:.*:) = #3:]:2 21: +1 (2 marks) ii. g() = e31\" ens (4:12) (2 marks) _ tan(3:r) + 1 111. p(a:) lngr (23: _ 1) (2 marks) b} The radius of a circle increases at a rate of 3 cm/s. Find the rate of increase of the area when the area is 41: 6mg. (2 marks) 32+]. I c} Find the I -cccrdinates of the points on the curve 3,: = at which the tangent is perpendicular to the line 3y + 4x = 2. (2 marks)