a. Use the definition mtan lim x→a f(x)= b. Determine an equation of the tangent line at P. c. Plot the graph of f and the tangent line at P. 2 P(-2,-1) a. mtan f(x)-f(a) x-a = to find the slope of the line tangent to the graph off at P. (Type an integer or a fraction.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 1YT: YOUR TURN For the graph of f(x)=x2x, a find the equation of the secant line through the points where...
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a. Use the definition mtan = lim -
x→a
f(x):
b. Determine an equation of the tangent line at P.
c. Plot the graph off and the tangent line at P.
2
==
a. mtan =
f(x) - f(a)
x-a
P(-2,-1)
to find the slope of the line tangent to the graph of f at P.
(Type an integer or a fraction.)
Transcribed Image Text:a. Use the definition mtan = lim - x→a f(x): b. Determine an equation of the tangent line at P. c. Plot the graph off and the tangent line at P. 2 == a. mtan = f(x) - f(a) x-a P(-2,-1) to find the slope of the line tangent to the graph of f at P. (Type an integer or a fraction.)
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