a)
To find:the slope of the tangent to the graph of the function at a given point.
The slope of the tangent line to the graph of
Given information:
The expression is
Formula used:
The slope of the tangent line to the graph of
Calculation:
Computations of the slope at a given point:
Further, simplify.
The slope of the tangent line to the graph of
b)
To find:the tangent line to the graph of the function at a given point.
The equation of the tangent is
Given information:
The expression is
From part (a), the slope of the tangent line to the graph of
Formula used:
Let
Calculation:
Substitute
Thus, the equation of the line having slope 1 and passing through
Thus, the equation of the tangent is
Chapter 11 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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