7.3 Locate the minimum of the function f(x) = 3 + 6x + 5x^2 + 3x^3 + 4x^4 7.2 Determine the maximum and the corresponding value of x for the function f(x) = -x^2 + 8x - 12

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Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
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Please code the Golden section search and newton optimization to solve the
exercises.
|
Optimization of functions
Find a local maximum or minimum
7.3 Locate the minimum of the function
f(x) = 3 + 6x + 5x^2 + 3x^3 + 4x^4
7.2 Determine the maximum and the corresponding value of x for the function
f(x) = -x^2 + 8x - 12
7.4 Given
(a) Plot the function.
(b) Use analytical methods to prove that the function is concave for all values of x.
8
f(x) = -1.5x^6 - 2x^4 + 12x
(c) Find the maximum f(x) and the corresponding value of
Code
Golden section search
Newton optimization
Transcribed Image Text:Please code the Golden section search and newton optimization to solve the exercises. | Optimization of functions Find a local maximum or minimum 7.3 Locate the minimum of the function f(x) = 3 + 6x + 5x^2 + 3x^3 + 4x^4 7.2 Determine the maximum and the corresponding value of x for the function f(x) = -x^2 + 8x - 12 7.4 Given (a) Plot the function. (b) Use analytical methods to prove that the function is concave for all values of x. 8 f(x) = -1.5x^6 - 2x^4 + 12x (c) Find the maximum f(x) and the corresponding value of Code Golden section search Newton optimization
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