The function f(x) = x(64-x^2)^1/2 satisfies the hypotheses of Rolle's Theorem on the interval [-8,8]. Find all values of that satisfy the conclusion o

Cabiolab

Cabiolab

Answered question

2020-10-20

The function f(x)=x(64x2)12 satisfies the hypotheses of Rolles

Answer & Explanation

2abehn

2abehn

Skilled2020-10-21Added 88 answers

Your derivative should have been 64x2x264x2
The minus sign coming from the derivative of (x2)
Setting the derivative to zero,
64x2x264x2=0 multiply both terms by 64x2
(64x2)x2=0
64=2x2
32=x2
x=+4.2
Answer: option B

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