Embedded Files
Key ideas
Key ideas
I can use technology to find local maxima, minima and intersections of fucntions
I can explain how a local maximum/minimum is not necessarily the greatest/least value of the function in the given domain.
Finding local maxima and minima
Finding local maxima and minima
Using the Casio calculator to find maxima, minima and intersections
We use the second derivative test to classify stationary points, that is : to determine their nature. We start by stating the rule and then work through an example in which we find a function's stationary points and use the second derivative test to classify them. Given a function has a stationary point when x = c then: - if f''(c) is negative then the stationary point is a maximum - if f''(c) is positive then the stationary point is a minimum - if f''(c) equals zero then the test is inconclusive and we should study the sign of the first derivative to classify the stationary point.
We see how to study the sign of the derivative to classify, or determine the nature of, stationary points: maximum, minimum, or horizontal points of inflexion, without a calculator, with a sign table. This method is sometimes called the first derivative test. This is the first of several tutorials on the first derivative test.
https://www.youtube.com/watch?v=YjdsFu2smUA
We use the sign of the derivative, to classify a function’s stationary points: maximum, minimum or horizontal point of inflexion? We use a sign table and do this by hand (without a calculator). The method is known as the first derivative test.
https://www.youtube.com/watch?v=FKfbWFg_q_g
Google Sites
Report abuse