MATH110 December 2011
• Q1 (a) • Q1 (b) • Q1 (c) • Q2 (a) • Q2 (b) • Q2 (c) • Q3 • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q5 (c) • Q6 • Q7 (a) • Q7 (b) • Q7 (c) • Q7 (d) • Q7 (e) • Q8 (a) • Q8 (b) • Q9 • Q10 (a) • Q10 (b) • Q11 •
Question 05 (a)
Differentiate the following function.
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What differentiation rules will you need here?
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Since this is a quotient, we will be using the quotient rule. For this, we need to have the derivative of both the denominator and the numerator.
The numerator is simply the cosine function and we know that:
For the denominator, we will need to use the chain rule and obtain:
So now we can use the quotient rule and obtain:
Where the last equality was obtained using that .
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