Find the absolute maximum and absolute minimum values of f on the given interval and state where those values occur: f(x)=x^{3}-3x^{2}-9x+25, [-5,10]

vazelinahS

vazelinahS

Answered question

2021-05-12

Find the absolute maximum and absolute minimum values of f on the given interval and state where those values occur: f(x)=x33x29x+25,[5,10]

Answer & Explanation

Layton

Layton

Skilled2021-05-13Added 89 answers

Step 1
Given function is f(x)=x33x29x+25
To find absolute minimum and asbsolute maximum over the interval(-5,10)
Step 2
We have f(x)=x33x29x+25
To find absolute maximum and absolute maximum value firstly we nee dto find critical points differentiate the function respect to x
Step 3
3x26x9 by splitting middle term
3x29x+39=0
3x(x3)+3(x3)=0
(x3)(3x+3)=0=0

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