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The functions are and , where , and .
(a)
Find and .
Apply derivative on each side with respect to .
.
Substitute in above expression.
.
Substitute in above expression.
Consider .
Apply derivative on each side with respect to .
Substitute in above expression.
.
Substitute in above expression.
.
(b)
Find an equation of tangent line to the graph of at the point .
If , then
Substitute in above expression.
.
Therefore, the point is .
Consider .
Apply derivative on each side with respect to .
Slope of the tangent is derivative of the function at the given point.
.
Slope of the tangent is .
Point - slope form of a line equation is .
Substitute and in above expression.
Tangent line to the graph at is .
(a) and .
(b) Tangent line to the graph at is .
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