Consider the function f(x) = x2 + x and the point (1, 2). (a) Find the slope of the tangent to the graph of f(x) at any point. (b) Find the slope of the tangent at the given point. (c) Write the equation of the line tangent to the graph of f(x) at the given point. (Let x be the independent variable and y be the dependent variable.)
Consider the function f(x) = x2 + x and the point (1, 2). (a) Find the slope of the tangent to the graph of f(x) at any point. (b) Find the slope of the tangent at the given point. (c) Write the equation of the line tangent to the graph of f(x) at the given point. (Let x be the independent variable and y be the dependent variable.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.FR3: A Further Look: Definition Of A Function
Problem 8E
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Consider the function
f(x) = x2 + x
and the point
(1, 2).
(a) Find the slope of the tangent to the graph of f(x) at any point.
(b) Find the slope of the tangent at the given point.
(c) Write the equation of the line tangent to the graph of f(x) at the given point. (Let x be the independent variable and y be the dependent variable.)
(b) Find the slope of the tangent at the given point.
(c) Write the equation of the line tangent to the graph of f(x) at the given point. (Let x be the independent variable and y be the dependent variable.)
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