(a) Use the techniques of differentiation to find the derivatives of the following functions. (i) f(x) = thanx (ii) f(x) = sin(2cos(3x)) (iii) f(x) = (4x2 9) 4x2 + 9 (b) Use logarithmic differentiation to find 5%, if y = .'1Ic(:r2 + 8).?'2 H. (c) A particular cardioid is given by the equation x2+y2 = (2x2+2y2Jr)2 Find an equation of the tangent line to the cardioid given above at the point (0, %)