Please help me on 1-4 question

IT 4 - Calculus 1 - Week 8-9 - QueverX *Homework Help - Q&A from OX Course: IT 4 (1119): Calculus 1 - X C O 8 https://umindanao.mrooms.net/pluginfile.php/1054634/course/section/268401/IT 4 -%20 Calculus 1 - Week 8-9 - Quevedo.pdf?time=1628323923683 E 31| of 72 + Automatic Zoom Let's Check Activity 1. Now that you know the most essential concepts in the study of implicit differentiation and derivatives of logarithmic, exponential, and inverse trigonometric functions and the concept of L'Hopital's rule. Let us try to check your understanding of these concepts. Kindly answer the following. 1. The equation xy + 2y = 1 defines implicitly the function y = 2. Use implicit differentiation to find dy/dx for x2 - y' = xy. 3. The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is 4. Use implicit differentiation to find d' y/ dx for sin y = x. 5. (a) Find dy/dx by differentiating implicitly. (b) Solve the equation for y as a function of x, and find dy/dx from that equation. (c) Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone. 1. x + xy - 2x' =2 2. Vy - sin x = 2 6. Find dy/dx by implicit differentiation. x2 + 12 = 100 x3 + y3 = 3xy2 x y + 3xy' - x = 3 x3y2 - 5x2 y + x = 1 1 = 1 x2 = _ xty Vx T Jy y sin(x2y2) = x cos(xy ) = y xy tan' (xy2 + y) = x =1+ y4 OH90 8 W 5:38 PM 12/2/2021 7