Find Extreme Points
Find critical points first, then use the second-derivative test or another local test to classify them.
Formula: Critical points satisfy fβ²(x)=0 or fβ² undefined; classify with fβ³ when applicable
Use parentheses carefully when entering nested expressions, fractions, powers, and trigonometric functions. The intended grouping must match the mathematical notation.
A good verification is to choose a simple function whose derivative or integral is already known and compare the result.