# Show that the function has local extreme values at the given values of 0 and say which kind of local extrema the function has.24.h(0) 4 cos0s0s 2T, 0 = 0 and 0 2xFind h'(0)h'(0)Set h'(0) equal to 0 and solve for 0 on 0s0s 2.Ө-(Type an exact answer, using t as needed. Use a comma to separate answers as needed.)Өhas local extreme values at 02on 0 s0 s 2n.Thus, h(0) 4 cos(Type an exact answer, using t as needed. Use a comma to separate answers as needed.)Evaluate h(0) at 0 and 2t.h(0)(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)h(21)(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)Determine which kind of local extrema the function has at 0 0 and 0 27tat 0 2TThe function has a local (1)at 0 0 and a local (2)|(1)(2)minimummaximummaximumminimum

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Given,

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The derivative of the function is

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