MATH0801 Study Guide - Final Guide: Tachykinin Receptor 1, Minimax, Mean Value Theorem
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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 x2 y2 2. 4 x 2 y 2 2 x 2 y y " =25 2 x 2 y y " . 8 x 3 8 x 2 yy " 8 x y 2 8 y 3 y " =50 x 50 y y " 8 x 2 yy " 8 y 3 y " 50 yy "=50 x 8 x 3 8 xy 2. Y " 8 x 2 y 8 y 3 50 y =50 x 8 x 3 8 xy2. 8 x 2 y 8 y 3 50 y. Substituting x , y = 3,1 gives us m= . Substituting x , y = 3,1 gives b=
