MATH 1225 Lecture Notes - Lecture 4: Glossary Of Video Game Terms

(1) Use implicit differentiation to find dy/dx if xy = sin x + sin y (2) Suppose 6x2 +3xy+ 2y^2 + 17y - 6 = 0. (a) Use implicit differentiation to find the derivative (b) Find an equation for the line tangent to the graph at (x, y) = (-1,0). (3) Find the equation of the tangent to the curve given by 2(x - y^2)^2 = 25(x^2 - y^2) at the point (3,1). (4) Find dy/dx and d^2y/dx^2 by Implicit differentiation for the curve given by x^2 + xy - y^2 = 4 Express the second derivative in terms of x and y. (5) The curve with equation x^2 + xy + y^2 = 7 has two x-intercept. Find the equation of the lines tangent to the curve at those two intercepts.

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L-esponses/last?dep 19043400 10· Question Details LarCalc11 133 JIT 004. Find dy/dx by implicit differentiation. 9 cos x sin y 1 11. Question Details LarCalc11 13.5.024 Differentiate implicitly to find dy/dx sec(xy) + tan(xy)14 4 dy dx 12.-0 Question Details LarCalc11 136.055 The temperature at the point (x, y) on a metal plate is T(x, y) Find the direction of greatest increase in heat from the point (1, 3). 13. +A Question Details LarCalc 11 136 502XP Find the directional derivative of the function at P in the direction of v. h(x, y, z) P(5, 3, 3), xyz, v 14. Question Details LarCalc11 13.6.005