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Answer:
Explanation:
Given
Required
Determine the equation at the point of inflection
The point of inflection of a curve is the point where the second derivative is 0.
So:
First derivative is:
Second derivative:
Equate to 0
Solve for x
Next, we calculate the slope (m) of the point using the first derivative.
Substitute -1 for x in
To get the y equivalent;
Substitute in
Lastly, we calculate the line equation using:
Where
and
So, we have:
Make y the subject
<em>Hence, the equation is: </em><em></em>