In this video you will find all knowledge about Maxima and Minima from Basic level ti IIT JEE Mains Level.
If the derivative changes from positive (increasing function) to negative (decreasing function), the function has a local (relative) maximum at the critical point. … When this technique is used to determine local maximum or minimum function values, it is called the First Derivative Test for Local Extrema.
Local minima and maxima (First Derivative Test) A function has a local maximum or relative maximum at a point if the values of for ‘near’ are all less than f ( x o ) . Thus, the graph of near has a peak at .