MATH105 April 2012
• Q1 (a) • Q1 (b) • Q1 (c) • Q2 (a) • Q2 (b) • Q2 (c) • Q3 (a) • Q3 (b) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q6 (a) • Q6 (b) • Q7 (a) • Q7 (b) • Q8 (a) • Q8 (b) • Q8 (c) • Q8 (d) • Q8 (e) • Q8 (f) • Q8 (g) • Q8 (h) • Q8 (i) •
Question 05 (b)
Find the first partial derivatives of H and use this to compute .
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Recall the definition of the gradient:
To use part (a), write H in terms of F and G.
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We write H as a sum of F and G:
where we used the knowledge about the derivatives F'(x) and G'(y) from part (a). Finally, all that is left to do is to plug in the given values to find that
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