January 19, 2017

Homework Help: calculus

Posted by zoe on Sunday, November 27, 2011 at 8:36pm.

i'm not sure how to do this. can someone help, please? thanks!

consider the function f(x0 = x^2 + 2x on the interval [-2, 2]

a. draw a sketch of the graph of f(x). find the average rate of change on the interval [-2, 2] and sketch this secant line.

b. find an expression that calculates the instantaneous rate of change of f(x) at any given point on the curve. find the coordinates on the graph of f(x) where the instantaneous rate of change equals the average rate of change.

c. write an equation for the tangent line at the point found in part b. sketch the tangent line on the same graph as part a. what is the relationship between the two lines on the graph?

thanks for the help in advance, i'm just really confused.

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