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For the function f(x) = 4 cos(2x) + 1, state the intervals where the instantaneous rate of change is positive, negative and zero for 0

For the function f(x) = 4 cos(2x) + 1, state the intervals where the instantaneous rate of change is positive, negative and zero for 0 x . Sketch the graph and your graph points by proving it algebraically.

[please write a full solution so that I may check my work :)]

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