Can someone please explain maxima and minima derivatives?
Maxima and minima are areas of the graph where it is a flat line. A flat line in terms of derivatives is 0 (the slope). So to find the maxima and minima of your problem, you first find the derivative. Then set that derivative to 0 and solve for x. Assuming you meant 5x^2: 12x^3 + 10x = 0 So the slope is 0 at x= 0, *edit:*the other time the slope is 0 is an imaginary number. The final step is to find if it is a maxima or a minima, because a slope of 0 can mean either. To do this you find the second derivative. f”(x) = 36x^2 + 10 When x = 0, the second derivative is 10. Since this is above 0, it means that it is concave up. Concave up means that the point is at a minimum. So this function has one minima at x = 0 and no maximum.
