Ads
related to: second derivative test worksheets pdf free download sitesteacherspayteachers.com has been visited by 100K+ users in the past month
- Worksheets
All the printables you need for
math, ELA, science, and much more.
- Projects
Get instructions for fun, hands-on
activities that apply PK-12 topics.
- Free Resources
Download printables for any topic
at no cost to you. See what's free!
- Resources on Sale
The materials you need at the best
prices. Shop limited time offers.
- Worksheets
Search results
Results from the WOW.Com Content Network
The higher-order derivative test or general derivative test is able to determine whether a function's critical points are maxima, minima, or points of inflection for a wider variety of functions than the second-order derivative test. As shown below, the second-derivative test is mathematically identical to the special case of n = 1 in the ...
Thus, the second partial derivative test indicates that f(x, y) has saddle points at (0, −1) and (1, −1) and has a local maximum at (,) since = <. At the remaining critical point (0, 0) the second derivative test is insufficient, and one must use higher order tests or other tools to determine the behavior of the function at this point.
The second derivative test can still be used to analyse critical points by considering the eigenvalues of the Hessian matrix of second partial derivatives of the function at the critical point. If all of the eigenvalues are positive, then the point is a local minimum; if all are negative, it is a local maximum.
The second-derivative test for functions of one and two variables is simpler than the general case. In one variable, the Hessian contains exactly one second derivative; if it is positive, then x {\displaystyle x} is a local minimum, and if it is negative, then x {\displaystyle x} is a local maximum; if it is zero, then the test is inconclusive.
Download QR code; Print/export ... Download as PDF; Printable version; In other projects Appearance. ... Redirect page. Redirect to: Derivative test#Second-derivative ...
Download as PDF; Printable version; ... test for divergence, ... for all positive integers n and the second derivative ″ ...
The FDIC is an independent government agency charged with maintaining stability and public confidence in the U.S. financial system and providing insurance on consumer deposit accounts.
The second derivative of a function f can be used to determine the concavity of the graph of f. [2] A function whose second derivative is positive is said to be concave up (also referred to as convex), meaning that the tangent line near the point where it touches the function will lie below the graph of the function.
Ads
related to: second derivative test worksheets pdf free download sitesteacherspayteachers.com has been visited by 100K+ users in the past month