(a) Find the interval(s) on which is increasing.Recall the increasing/decreasing test with respect to a...
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(a) Find the interval(s) on which is increasing.Recall the increasing/decreasing test with respect to a function f. If f'(x) > 0 on an interval, then fis increasing on that interval. If f'(x) < 0 on an interval, then fis decreasing on that interval.Therefore, the first step in finding the intervals of increase and decrease is to find f'(x).f(x) = 4 sin(x) + 4 cos(x)f'(x) = 4 cos.x - 4 sin xStep 2We have determined that f'(x) = 4 cos(x) - 4 sin(x). We must now determine any values where f'(x) = To do so, we set 4 cos(x) - 4 sin(x) equal to 0 and solve for x over the interval 0 ? x ? 2x. Doing so gives the following result. (Enter your answers as a comma-separated list.)x=We recall that these values are called the critical numbers of f in the interval 0 ? x ? 2x.
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