MATH100 December 2010
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Question 01 (g)
Short-Answer Questions. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answers. Unless otherwise stated, it is not necessary to simplify your answers in this question.
Find the slope of the tangent line to the curve
At the point (-1,1).
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First, we must find the derivative of the curve using implicit differentiation:
This gives us the equation for the slope. The question is asking us for the slope at the point (-1,1) so we plug in x=-1 and y=1:
Therefore, the slope of the tangent line to the curve at (-1,1) is 2/3.
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