Question

Find where it is increasing and decreasing, coordinates of local extreme points, and inflection points. of f(x)= (-6)/(x+3) @Calculus1

Answer 1

Find increasing and decreasing intervals by finding the derivative. When f ' (x) > 0, f(x) is increasing. When f ' (x) < 0, f(x) is decreasing. To find critical points, set f ' (x) = 0 and solve for x. To find local extrema and points of inflection, compute the second derivative f '' (x) and use it to assess concavity changes in the initial function. To find the coordinates for these points, stick the values you've found for x into the initial equation f(x) and solve it.