Mathematics - Calculus - Differential - Applications of derivatives - Optimization and Related Rates

10 steps: (1) Critical points: where f'(x)=0 or undefined. (2) First derivative test: if f' changes + to - → local max. - to + → local min. (3) Second derivative test: f''(c)>0 → concave up → minimum. f''(c)<0 → concave down → maximum. (4) OPTIMIZATION example: Find dimensions of rectangle with peri