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Question 24 (1 point) By completing the square, determine the value of x that produces a maximum or minimum function value on the given interval for the function $f(x) = -x^2 + 8x - 5$ on the interval $[2, 6]$. 6 4 2 11

          Question 24 (1 point)
By completing the square, determine the value of x that produces a maximum or
minimum function value on the given interval for the function $f(x) = -x^2 + 8x - 5$ on
the interval $[2, 6]$.
6
4
2
11
        
Question 24 (1 point)
By completing the square, determine the value of x that produces a maximum or
minimum function value on the given interval for the function f(x) = -x^2 + 8x - 5 on
the interval [2, 6].
6
4
2
11

Added by John M.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Question 24 (1 point) By completing the square, determine the value of x that produces a maximum or minimum function value on the given interval for the function f(x)=-x^(2)+8x-5 on the interval 2,6. 6 4 2 11 Question 24(1 point) By completing the square,determine the value of x that produces a maximum or the interval [2,6].
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Transcript

-
00:01 Okay, so let's get started by finding the derivative of f.
00:05 Well, here we are going to use the quotient rule.
00:08 So, we are going to have the rational function with denominator x squared plus 9 squared.
00:16 And the numerator is going to be x squared plus 9 minus 2x squared.
00:24 Perfect.
00:25 So we get negative, okay let me write like this, negative x squared plus 9 over x squared plus 9 squared.
00:40 Now we can study the sign of f prime.
00:45 This is pretty easy.
00:48 Okay, so here we have negative 3, here we have 3, negative 5 and 5.
00:56 Okay, now f prime is positive here and negative here.
01:04 Perfect...
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