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Please solve. Thank you! Use a computer algebra system to analyze the function over the given interval. ((x) - sin(x) _ _ sin(3x) + _

Please solve. Thank you!

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Use a computer algebra system to analyze the function over the given interval. ((x) - sin(x) _ _ sin(3x) + _ sin(5x). [0, =] (a) Find the first and second derivatives of the function. F(X) = cos ( x ) - cos ( 3x ) + cos ( 5x ) F ( x ) = -sin (x ) + 3 sin ( 3x ) - 5 sin( 5x) (b) Find any relative extrema and points of inflection. (Round your answers to four decimal places. If an answer does not exist, enter DNE.) relative maximum (x, y) = relative minimum (x , V ) = points of inflection (x, y) = (smallest )-value) (x, V ) = (smaller x-value) (x, V ) = (larger x-value) (x, y) = (largest x-value)

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