(1) The first equation does not have local max and local min because the equation will graph exactly like y = x3 that you should have learned from HS. Note: The (e5x+2) is irrelevant here, as it will act only like a coefficient for all values of x. (2) Use the first derivativ...
This is near-sighted in that he may head toward a local maximum or smaller peak instead of crossing a pass or saddle and climbing the highest peak in the range.K.D. STROYANCalculus Using Mathematica
Find the local maximum and minimum values of f using both the First and Second Derivative Tests. f (x) = 1 +3 x^2 - 2 x^3 Find the local maximum and minimum values of f(x) = x^5 - 5x + 2 using both the First and Second Derivative ...
Find the local extrema (max and min) of: f(x,y) = \sin x + \sin y + \sin(x+y), 0 \leq x \leq 2\pi, 0 \leq y \leq 2\pi Find all local maximums and minimum of the function s (t) = t + sin (t). Find the absolute mini...
Then of course you could run solver with VBA in a loop and changing the range setting for each loop and see if you get a better (higher) max value but how to be really sure you have got the max max value? https://www.mathsisfun.com/calculus/maxima-minima.html Alf Register To Re...
In particular we exploit the associated variational structure and search for constrained minimizers of a suitable functional. Depending on the growth of the coupling, we detect the existence of global minimizers in the mass subcritical and critical case, and of local minimizers in the mass ...
‖ψ(m,0)‖⩽bm,maxv∈B1(rm)‖dψ(m,v)‖⩽cm. Theorem 8.13 There are positive constants r0, b0, and c0 such that for every ψ∈ Ψ one can find a function ψ˜∈Ψ for which Fm−1({(v,ψ(m,v)):v∈B1(rm)})⊃{(v,ψ˜(m+1,v)):v∈B1(rm+1)} for all...
Here and henceforth, we are using the following notation: \begin{aligned} a\wedge b:=\min \{a,b\} ,\quad a\vee b:=\max \{a,b\}. \end{aligned} The choice \varphi =(u\wedge M)^\beta in (2.5) implies that the right integral in (3.2) does not exceed ...
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f(x) = 1 + (7/x) - (4/x^2) Find the horizontal asymptotes and find the inflection point (x,y). For, f (x) = 2 x^3 + 12 x^2, use calculus to determine the location of: (a) Any maximum or minimum points (tell which are max and which are min); ...