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Q: What is the purpose of the second derivative test in calculus?
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The second derivative test is inconclusive.


Does the SAT have calculus questions?

No, the original SAT test does not have calculus. The SAT Subject Test for Math 2 also does not have calculus.


What are the steps to solving an Optimization problem in calculus?

Optimization problems that involve finding the maxima or minima of functions also involve taking the first derivative of the function and finding locations where the value of the first derivative is equal to zero (by setting f'(x) = 0). The locations are either maxima, minima, or points of inflection and a second derivative test can be used to determine which of the three was found (max: f''(x) < 0, min: f''(x) > 0, PoI: f''(x) = 0).


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Can the concavity of a curve be determined by differentiation?

Yes, the concavity of a curve can be determined by differentiation. To find out the concavity of a graph at various points, you want to analyze the second derivative (f''(x)). Take the derivative of your original equation, then, take the derivative of this equation. By setting this second derivative to zero, you can solve for the critical points (x-intercepts/asymptotes) of the second derivative graph. Once these critical points are found, make a number line with these points marked. By doing a sign test on either sides of the critical points (plug in numbers below and above the critical points into the second derivative equation), you can find the concavities of your original graph. Wherever the sign tests results in a positive number, that is where a upward facing curve is (concave up); where it is negative, that is where a concave down portion is.


Which governmental agency mandates the use of PD Test prior to using aniline derivative tints?

Which governmental agency mandates the use of a P.D. Test prior to using aniline derivative tints?


Which governmental agency mandates the use of a PD Test prior to using aniline derivative tints?

Which governmental agency mandates the use of a P.D. Test prior to using aniline derivative tints?


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Other names for a tuberculin skin test. PPD stands for purified protein derivative.


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How do you prepare for a calculus test?

By studying a lot - reviewing textbooks, and practicing. It would help if you know the specific topics that will enter the test.


Purpose of the test in education?

The purpose of the test in education serves a double purpose. The test is an assessment of what the student has learned. It is also a measure of the quality of the teaching.