MATH0801 Study Guide - Final Guide: Mean Value Theorem, Antiderivative, Minimax
Document Summary
Math 113 review: implicit differentiation (i) differentiate both sides of the equation with respect to x. Whenever differentiating a term with a y in it, multiply by y". (ii) solve for y". Example: find the equation of the line tangent to the curve 2 x. Steps for success: (i) draw a picture (ii) find a known formula (iii) differentiate everything with respect to time (iv) substitute given values (v) solve for unknown. Example: a boy trapped in a helium filled ufo is floating away at a constant angle of elevation of / 6 radians. The boy"s father must run at a speed of 5 km/h to stay directly below the ufo. 2: extreme values (local and absolute max/min, can only occur at critical points and endpoints of domain. Evaluate f ( x) at the critical points and endpoints of domain. Largest value is max; smallest is min: to find local extrema use the first derivative test.
