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Use calculus to find the coordinates of all local extreme points and inflection points of the function f(x)=x^3-9x^2-48x+52. Determine the type of local extremum.
Use calculus to find the coordinates of all local extreme points and inflection points of the function f(x)=x^3-9x^2-48x+52. Determine the type of local extremum.
Solution
df/dx=0 3x^2-18x-48=0 x=-2, x=8 d^f/dx^2 =6x-18 at x=8 d^f/dx^2 =30 >0 so local minima similarly other point is --30<0 so local maxima
