# on the graph of f(x) = 54x - 2x3 where the tangent line is horizontalFind the points(Use symbolic notation and fractions where needed. Give your answer as a comma separated list or ordered pairs in the form(*, *), (*,*(, *)...)(x, y)

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1 views help_outlineImage Transcriptioncloseon the graph of f(x) = 54x - 2x3 where the tangent line is horizontal Find the points (Use symbolic notation and fractions where needed. Give your answer as a comma separated list or ordered pairs in the form (*, *), (*,* (, *)...) (x, y) fullscreen
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Given,

Step 2

Here we have to find the points on the graph of f(x) where the tangent is... help_outlineImage TranscriptioncloseSo,f'(x d(54x-2x3) dx 54 — бх2 Since, slope 0 : 54 — бх2 — 0 11 6x2 54 x2 9 When x 3 then f (3) 54 x 3 - 2(3)3 = 108 And when x -3 then f(-3) 54 x (-3) 2-3)3 108 Therefore, the points on the graph of f(x) where the tangent is horizontal are (3, 108) and (-3, -108) fullscreen

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