tangent to the curve2 [Notes & HW Answers] 4.1 Using First and Second Derivatives [Prepwork 4.1] Q1. Suppose f(x)f(x) is a continuous function that has a local maximum at the point (3,2).Which of the following statements must be true? A: (1) If a is just a little greater than 3, then f(a) ≤ 2. (2) f(x) has a critical point at x=3. (3) If a is just a little less than 3, then f(a) ≤ 2. Q2. Suppose f(x)f(x) is a continuous function that has a local minimum at (1,6)(1,6) and no o.. 2022. 12. 6. [Notes & HW Answers] 3.7 Implicit Functions [Prepwork 3.7] Q1. Which of the following points satisfies the equation 𝑥^2−𝑥𝑦^2=2? A: (1) (-2^(1/2)/2, (4.5)^(1/4)) ; (2) (-2^(1/2),0) Q2. (1) Find dy/dx when x^2 - xy^2 =2. A: (1) dy/dx = (y^2-2x)/-2xy (2) Find an equation for the tangent line to x^2 - xy^2 = 2 at the point (2,1). A: (2) y = (3/4)(x-2) + 1 Q3. Find all points satisfying the equation 𝑥2−𝑥𝑦2=2x2−xy2=2 where the tangent line is v.. 2022. 11. 21. 이전 1 다음
