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)
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Chapter1: Functions
Section1.FR3: A Further Look: Definition Of A Function
Problem 8E
Topic Video
Question

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.)
 
 
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