MATH104 December 2010
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q1 (h) • Q1 (i) • Q1 (j) • Q1 (k) • Q1 (l) • Q1 (m) • Q1 (n) • Q2 (a) • Q2 (b) • Q3 • Q4 • Q5 • Q6 •
Question 01 (h)
Find the equation of the tangent line to the graph of at x = 1.
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What are two critical pieces of information to find the equation of a line?
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This requires us to find a point on the line and its slope.
When , so we know the point is on the line.
If then and so the slope of the line is .
The equation of the tangent line is then , by the point-slope formula, or .
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