What does this f'(x) graph tell you about f(x)? скачать в хорошем качестве

What does this f'(x) graph tell you about f(x)?

High school math teacher explains what an f'(x) graph tells you about f(x)! f'(x) is the derivative of f(x), which means it represents the slope of the tangent line at each point on f(x). -If f'(x) is positive, then f(x) is increasing. -If f'(x) is negative, then f(x) is decreasing -If f'(x) changes from positive to negative, f(x) has a relative maximum at that x value. -If f'(x) changes from negative to positive, f(x) has a relative minimum at that x value. -If f''(x), or the derivative of f'(x) is equal to 0 or is undefined AND changes signs, then f(x) has a point of inflection at that x value. -If f''(x), or the derivative of f'(x), is positive, then f(x) is concave up. -If f''(x), or the derivative of f'(x), is negative, then f(x) is concave down. Subscribe:    / @calculusbychristee   Thank you for watching! Please comment below about other topics you would like to see in future videos!