- 5 Let F X X Ax Where A Is A Constant Value A Use Derivatives To Show That X Is Increasing For X 0 And Then 1 (22 KiB) Viewed 41 times
5. Let f(x) = x³ + ax, where a is a constant value. a. Use derivatives to show that x³ is increasing for x = 0, and then
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5. Let f(x) = x³ + ax, where a is a constant value. a. Use derivatives to show that x³ is increasing for x = 0, and then
5. Let f(x) = x³ + ax, where a is a constant value. a. Use derivatives to show that x³ is increasing for x = 0, and then show that x³ is increasing at x = 0. (For the second part, show that for a < 0<b, a³ <0<b³). Find all values of a for which f(x) is an increasing function. (Hint: For what values of a is f'(x) > 0 for all real values of x?) b.
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