Suppose f(x) is given.Suppose point (a,b) is a point on the function f(x).suppose line L1 is a tangent line to f(x) at point (a,b). Note: tangent line to a function is a line that touches the function at only one point.1- What is the slope of the tangent line L1 described above (give an expression for the answer).2- suppose slope of this tangent line L1 is m. What is equation of this tangent line (give an equation for the answer).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 9SC
Question

Suppose f(x) is given.

Suppose point (a,b) is a point on the function f(x).

suppose line L1 is a tangent line to f(x) at point (a,b). Note: tangent line to a function is a line that touches the function at only one point.

1- What is the slope of the tangent line L1 described above (give an expression for the answer).

2- suppose slope of this tangent line L1 is m. What is equation of this tangent line (give an equation for the answer).

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