1.07e e) Understand and be able to use the second derivative as the rate of change of gradient. e.g. For distinguishing between maximum and minimum points. For the application to points of inflection, see 1.07f. 1.07g Differentiation from g) Be able to show differentiation from first principles for h) Be able to show differentiation from first principles MG1 1.07h first principles small positive integer powers of . for and . In particular, learners should be able to use the definition including the notation. [Integer powers greater than 4 are excluded.] 1.07i Differentiation of i) Be able to differentiate , for rational values of n, and j) Be able to differentiate and , and related sums, MG2 1.07j standard functions related constant multiples, sums and differences. differences and constant multiples. 1.07k k) Be able to differentiate , , and related sums, differences and constant multiples. 1.07l l) Understand and be able to use the derivative of .
1.07e e) Understand and be able to use the second derivative as the rate of change of gradient. e.g. For distinguishing between maximum and minimum points. For the application to points of inflection, see 1.07f. 1.07g 1.07h Differentiation from first principles g) Be able to show differentiation from first principles for small positive integer powers of . In particular, learners should be able to use the definition including the notation. [Integer powers greater than 4 are excluded.] h) Be able to show differentiation from first principles for and . MG1 1.07i 1.07j 1.07k 1.07l Differentiation of standard functions i) Be able to differentiate , for rational values of n, and related constant multiples, sums and differences. j) Be able to differentiate and , and related sums, differences and constant multiples. k) Be able to differentiate , , and related sums, differences and constant multiples. l) Understand and be able to use the derivative of . MG2
412031-section-1.07-differentiation-delivery-guide.docx