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Example Question #132 : Derivatives
Find the points of inflection for the following function:
Possible Answers:
Correct answer:
Explanation:
To solve, find when the 2nd derivative is equal to 0 and plug it into the first equation. We must use the power rule, as outlined below, to find each derivative.
Power rule:
Thus,
Since 2 is never equal to 0, there are no points of inflection.
Example Question #131 : Derivatives
Determine the values for the points of inflection of the following function:
Possible Answers:
Correct answer:
Explanation:
To solve, you must set the second derivative equal to 0 and solve for x. To differentiate twice, use the power rule as outlined below:
Power Rule:
Therefore:
Remember, the derivative a constant is 0.
Now, set it equal to 0. Thus,
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