= (-₁,3/-) ₁ a. Use the following definition of the slope of the tangent line at x = a to find the slope of the line tangent to the graph off at P. Let f(x) = 1 5+2x and point P = f(a+h)-f(a) h mtan = lim h→0 b. Determine an equation of the tangent line at P. a. The slope of the tangent line is (Simplify your answer.)

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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Question
1
5+2x
Let f(x) =
=(-¹-3).
a. Use the following definition of the slope of the tangent line at x = a to find the slope of the line tangent to the graph off at P.
and point P =
f(a+h)-f(a)
h
mtan lim
h→0
b. Determine an equation of the tangent line at P.
a. The slope of the tangent line is. (Simplify your answer.)
Transcribed Image Text:1 5+2x Let f(x) = =(-¹-3). a. Use the following definition of the slope of the tangent line at x = a to find the slope of the line tangent to the graph off at P. and point P = f(a+h)-f(a) h mtan lim h→0 b. Determine an equation of the tangent line at P. a. The slope of the tangent line is. (Simplify your answer.)
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