MATH100 December 2014
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q1 (h) • Q1 (i) • Q1 (j) • Q2 (a) • Q2 (b) • Q2 (c) • Q2 (d) • Q2 (e) • Q3 (a) • Q3 (b) • Q3 (c) • Q3 (d) • Q3 (e) • Q3 (f) • Q4 (a) • Q4 (b) • Q4 (c) • Q5 (a) • Q5 (b) • Q5 (c) • Q6 (a) • Q6 (b) • Q7 (a) • Q7 (b) • Q8 (a) • Q8 (b) • Q8 (c) • Q8 (d) • Q8 (e) • Q8 (f) • Q9 (a) • Q9 (b) • Q10 • Q11 (a) • Q11 (b) •
Question 01 (j)
The function has
- a discontinuity at
- a local maximum at
- a local minimum at
- a point of inflection at
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Calculate the derivatives. A critical point at occurs when . To determine the type of critical point at , consider the sign of , or how the sign of changes.
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at . for and for , so has a local minimum at .
Answer is C.
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MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Critical points and intervals of increase and decrease, Pages using DynamicPageList parser function, Pages using DynamicPageList parser tag