Talamancoeb
Answered
2021-12-31
For
(A)
(B) The slope of the graph of f at
(C) The equation of the tangent line at
(D) The value(s) of x where the tangent line is horizontal
(A) f'(x) = ____
(B) At
(C) At
(D) The tangent line is horizontal at x =_____
(Use a comma to separate answers as needed.)
Answer & Explanation
Andrew Reyes
Expert
2022-01-01Added 24 answers
Elaine Verrett
Expert
2022-01-02Added 41 answers
karton
Expert
2022-01-04Added 439 answers
Step 5
NSK
C) The equation of the tangent line at x = 2
First find the y coordinates by substituting x=2 in the given function.
y=48-96+5
y=-43
Step 6
Therefore, the equation of the tangent line passing through (2,-43) with slope -48, is
y-(-43)=-48(x-(-2))
y+43=-48x+96
y=-48x+96-43
y=-48x+53
Step 7
D)
The value(s) of x where the tangent line is horizontal
Set
Step 8
Therefore, the tangent line is horizontal at x=0,3
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