What you’ll learn3 learning objectivesChoose one objective for a focused lesson, or study the complete topic.2.4.1Advanced differentiation• use the derivatives of ex, ln x, sin x, cos x, tan x, together with constant multiples, sums, differences and compositesSyllabus objective2.4.2Product and quotient rules• differentiate products and quotients e.g. x x 32 24 - +, x2 ln x, xel - x2.Syllabus objective2.4.3Differentiation rules• find and use the first derivative of a function which is defined parametrically or implicitly. e.g. x = t - e2t, y = t + e2t. e.g. x2 + y2 = xy + 7. Including use in problems involving tangents and normals.Syllabus objective