Let (x) be the angle of inclination at a point on the graph y = (x) (see

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Let θ(x) be the angle of inclination at a point on the graph y = ƒ(x) (see Exercise 71).

do (a) Use the relation f'(x) = tan to prove that dx (1 + f'(x)) ds (b) Use the arc length integral to show

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Let (x) be the angle of inclination at a point on the graph y = (x) (see

Question:

do (a) Use the relation f'(x) = tan to prove that dx (1 + f'(x)) ds (b) Use the arc length integral to show that = 1 + f'(x). dx (c) Now give a proof of Eq. (6) using Eq. (13). =

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a By the relation fx tan we have 0 tanfx Differentiating usi...View the full answer

Calculus

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