f(x +h) – f(x) Use f'(x) = lim to find the derivative at x for the given function. h→0 s(x) = 8x + 9 s'(x) =

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.2: Graphs Of Functions
Problem 1E: To graph the function f, we plot the points (x,) in a coordinate plane. To graph f(x)=x22, we plot...
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For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact.
f(x) = 2x - 2x +4
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The point(s) at which the tangent line is horizontal is (are).
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
O B. There are no points on the graph where the tangent line is horizontal.
O C. The tangent line is horizontal at all points of the graph.
Transcribed Image Text:For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. f(x) = 2x - 2x +4 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The point(s) at which the tangent line is horizontal is (are). (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no points on the graph where the tangent line is horizontal. O C. The tangent line is horizontal at all points of the graph.
f(x+h)-f(x)
Use f'(x) = lim
to find the derivative at x for the given function.
h→0
s(x) = 8x + 9
%3D
s'(x) =|
S
%3D
Transcribed Image Text:f(x+h)-f(x) Use f'(x) = lim to find the derivative at x for the given function. h→0 s(x) = 8x + 9 %3D s'(x) =| S %3D
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