10+Applications+of+Differentiation+-+Standards

Back to 2Unit HSC Ext1 HSC

or is stationary." || 2.1 || 10A || 15.1 || 11.6 || 10.1 ||
 * =10 Geometrical Applications of Differentiation= || **Grove** || **Pender** || **Fitzpat** || **J&C 3U** || **Syllabus** ||
 * 1 || "Can sketch on a graph of function where it is increasing, decreasing
 * 2 || Can use differentiation to find where a function is increasing, decreasing or is stationary. || 2.1 || 10A || 15.1 || 11.6 || 10.1 ||
 * 3 || Can distinguish between maximum turning points, minimum turning points and horizontal points of inflexion. || 2.2 || 10B || 15.2 || 11.6 || 10.2 ||
 * 4 || Can apply tests to the value of f'(x) to determine if a stationary point is a local minimum, local maximum or a point of inflexion. || 2.2 || 10B || 15.2 || 11.6 || 10.2 ||
 * 5 || Can describe the significance of critical values of a function. ||  || 10C ||   ||   ||   ||
 * 6 || Can explain and use the notation for second and higher derivatives. || 2.3 || 10D || 15.3 || 16.1 || 10.3 ||
 * 7 || Can describe concavity and its relation to the second derivative. || 2.4/2.5 || 10E || 15.3 ||  || 10.4 ||
 * 8 || Can describe points of inflexion in terms of concavity. || 2.4/2.5 || 10E || 15.3 ||  || 10.4 ||
 * 9 || Can explain the complexity of interpreting f''(x) = 0 ||  || 10E || 15.4 || 16.3 ||   ||
 * 10 || Can use the value of the second derivative to help determine the nature of stationary points. || 2.6 || 10E ||  || 16.4 || 10.4 ||
 * 11 || Can sketch polynomials using intercepts, limits, symmetry and information from the first and second derivatives. || 2.7 || 10F || 15.4 || 16.4 || 10.5 ||
 * 12 || Can sketch rational polynomials with vertical and horizontal asymptotes. || 2.8 || 10F || 15.5 || 16.5 || 10.5 ||
 * 13 || Can find maximum and minimum values of functions of different intervals and over their domains. || 2.9 || 10G ||  ||   || 10.6 ||
 * 14 || Can model and solve max/min word problems. || 2.10/2.11 || 10G || 15.6 || 11.8 || 10.6 ||
 * 15 || Can find a primitive for a function. [Given f'(x), find f(x).] || 2.12 || 10J || 15.8 || 16.7 || 10.8 ||
 * 16 || Can explain why there is more than one primitive for a function. || 2.12 || 10J || 15.8 || 16.7 || 10.8 ||