MATH110 December 2017
• Q1 (a) • Q1 (b) • Q1 (c) • Q2 (a) • Q2 (b) • Q2 (c) • Q2 (d) • Q3 (a) • Q3 (b) • Q3 (c) • Q3 (d) • Q4 (a) • Q4 (b) • Q4 (c) • Q4 (d) • Q5 (a) • Q5 (b) • Q6 (a) • Q6 (b) • Q6 (c) • Q6 (d) • Q7 (a) • Q7 (b) • Q8 (a) • Q8 (b) (i) • Q8 (b) (ii) • Q9 • Q10 (a) • Q10 (b) •
Question 04 (d)
Let . Suppose that and . Find .
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Recall . Let and . Then, can be written as a composite function .
Using the power rule, . Also, .
Now, applying the chain rule, we get
Plugging and using and , we get