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Starting from the first principles (lim x->a f(x) - f(a) / x - a = lim h -> 0 f(x+h) - f(x) / h), find the expression for the slope of the tangent. a) y = 1/3x + 1 b) y = 3x - 4/x2 c) y = x2 / x-4

Starting from the first principles (lim x->a f(x) - f(a) / x - a = lim h -> 0 f(x+h) - f(x) / h), find the expression for the slope of the tangent. a) y = 1/3x + 1 b) y = 3x - 4/x2 c) y = x2 / x-4

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Starting from the first principles (lim x->a f(x) - f(a) / x - a = lim h -> 0 f(x+h) - f(x) / h), find the expression for the slope of the tangent.

a) y = 1/3x + 1

b) y = 3x - 4/x2

c) y = x2 / x-4

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