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MAT157Y1 (55)
Lecture

# Slope.pdf

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Department
Mathematics
Course
MAT157Y1
Professor
Dan Dolderman
Semester
Fall

Description
Question 3.2 #51 The key to this question is to try to calculate the slope of the tangent in two diﬀerent ways. Given a tangent line that passes though he poit (1,2), suppose that it a touches the curve at the point of tangency a,a+1 . Our goal is to ﬁnd what a could be. Let’s calculate the slope of the tangent at x = a on the curve in two ways. • First, we have the correspondence that the slope of the tangent at x = a 0 is the derivative y (a). 0 (x+1)−x 1 y (x) = (x+1)2 = (x+1)2 0 1 y (a) = (a+1) • Scond, emember that two points on the tangent line are (1,2) and a
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