Solving Minimize Minimize is the smallest possible value of a function. To find the minimize of the function, derivative the given function then set it equal to zero and solve for x. Put the value(s) of x into the original equation and find the value(s) of y. Find which is the smallest value of y, it is the minimum value of the function. In this article we are going to discuss about how to find the minimize of a function. dresses online uk Solving Minimize - Solving Example Problems Ex 1: Find the minimize of a function f(x) = x^3 - 9x^2 + 24x + 18. Sol: Given function is f(x) = y = x^3 - 9x^2 + 24x + 18. Derivative the equation and set it equal to zero `"dy"/"dx"` = 3x^2 - 18x + 24 = 0 3(x^2 - 6x + 8) = 0 bridal gown designers 3(x - 4)(x - 2) = 0. From solving this equation we can get two stationary point x = 4 and x = 2. buying wedding dresses At the point x = 4 the function value is y = (4)^3 - 9(4)^2 + 24(3) + 18 = 64 - 144 + 72 + 18 = 10 At the point x = 2 the function value is y = (2)^3 - 9(2)^2 + 24(2) + 18 couture bridal garters = 8 - 36 + 48 + 18 = 38 Therefore minimize of a function f(x) = x^3 - 9x^2 + 24x + 18 is 10 when x = 4. Ex 1: Find the minimize of a function f(x) = x^3 - 13.5x^2 + 60x + 24. Sol: Given function is f(x) = y = x^3 - 13.5x^2 + 60x + 24. Derivative the equation and set it equal to zero. `"dy"/"dx"` = 3x^2 - 27x + 60 = 0 3x^2 - 27x + 60 = 0 3(x^2 - 9x + 20) = 3(x - 4)(x - 5). From solving this equation we can get two stationary point x = 4 and x = 5. At the point x = 4 the function value is y = (4)^3 - 13.5(4)^2 + 60(4) + 24 = 64 - 216 + 240 + 24 = 112 At the point x = 5 the function value is y = (5)^3 - 13.5(5)^2 + 60(5) + 24 = 125 - 337.5 + 300 + 24 = 111.5 Therefore minimize of a function f(x) = x^3 - 13.5x^2 bridesmaid dresses cheap + 60x + 24 is 111.5 when x = 5. Solving Minimize - Solving Practice Problems Pr 1: Find the minimize of a function y = x^3 - 7.5x^2 + 18x + 18. Pr 2: Find the minimize of a function y = 3x^2 - 3x + 6. Ans: 1) 31.5 2) 5.25 Understand more on about Free Math Tutoring Online and its Illustrations. Between, if you have issue on these subjects Free?math?problem solver, Please discuss your feedback.