What you’ll learn3 learning objectivesChoose one objective for a focused lesson, or study the complete topic.3.4.1Advanced differentiation• use the derivatives of ex, ln x, sin x, cos x, tan x, tan-1 x, together with constant multiples, sums, differences and composites Derivatives of sin-1 x and cos-1 x are not required.Syllabus objective3.4.2Product and quotient rules• differentiate products and quotients e.g. x x 32 24 - +, x2 ln x, xe1 - x2.Syllabus objective3.4.3Differentiation 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