(a) Graph f(x) = x 2 and g(x) = x 2 + 3 on the same axes....

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(a) Graph f(x) = x2 and g(x) = x2 + 3 on the same axes. What can you say about the slopes of the tangent lines to the two graphs at the point x = 0? x = 1? x = 2? x = a, where a is any value?

(b) Explain why adding a constant to any function will not change the value of the derivative at any point.

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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