Math  /  Calculus

QuestionThe function f(x)=3x+5x1f(x)=3 x+5 x^{-1} has one local minimum and one local maximum. This function has a local maximum at x=x= with value and a local minimum at x=x= \square with value \square

Studdy Solution
The function has a local maximum at x=53x = \sqrt{\frac{5}{3}} with value 2152\sqrt{15} and a local minimum at x=53x = -\sqrt{\frac{5}{3}} with value 215-2\sqrt{15}.

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