https://math.libretexts.org › Bookshelves › Precalculus › Precalculus_(Tradler_and_Carley) › 04...

In this section, we will show how to locate local maxima and minima of a function (peaks and valleys of its graph), and the intersection points of two graphs. Further we will be able to use the calculator to find the x x -intercepts of a graph. The x x -intercepts are commonly called zeros or roots of the function f f.

https://www.varsitytutors.com › precalculus-help › maximum-and-minimum-problems

Free practice questions for Precalculus - Maximum and Minimum Problems. Includes full solutions and score reporting.

https://math.stackexchange.com › questions › 13253

As we saw here, the minimum of two quantities can be written using elementary functions and the absolute value function. $\min(a,b)=\frac{a+b}{2} - \frac{|a-b|}{2}$

https://math.stackexchange.com › questions › 55152

The function is equal to $(u-\cos\phi)^2-\sin^2\phi = 2\cos^2\phi-2u\cos\phi+(u^2-1)$, which is quadratic in $\cos\phi$. Now you can try to find its maximum and minimum with $\cos\phi\in[\frac{1}{\sqrt{2}}, 1]$.

https://www.ck12.org › flexi › precalculus › minimums-and-maximums › how-can-one-find-the...

To find the local maximum and minimum of a function, we first find its critical points by taking the derivative and setting it equal to zero. Then, we use the second derivative test to determine if each critical point is a local maximum, minimum, or neither.

https://math.stackexchange.com › questions › 2301040

Find the minimum of the following functions $f$, (without using a calculator or calculus) $$f = \sqrt{x + 25} + \sqrt{36 - x} + \sqrt{x}$$ I have tried the C-S-B inequality but could only find the maximum of function $f$.

https://courses.lumenlearning.com › ... › chapter › section-2-3-properties-of-functions

A local minimum is where the function changes from decreasing to increasing (as the input increases) and has an output value smaller (more negative or less positive) than output values at neighboring input values.