Use the limit definition to compute the derivatives at the given value of a: 1) f(x)= sqrt(3x-4) for a = 2 2) f(x) = 3x-5/x-2 for a = 1   Use the limit definition to find the slope of the tangent line at a, then find the equation of the tangent line to f at x = a: 1) -3/x-1 at a=4

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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Use the limit definition to compute the derivatives at the given value of a:

1) f(x)= sqrt(3x-4) for a = 2

2) f(x) = 3x-5/x-2 for a = 1

 

Use the limit definition to find the slope of the tangent line at a, then find the equation of the tangent line to f at x = a:

1) -3/x-1 at a=4

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