3.5 Homework - Implicit Differentiation (Homework)

1. [-/1 Points] DETAILS SCALCET9 3.5.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following. 1 = 6 X (a) Find y' by implicit differentiation. y'= (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. (c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y'= Need Help? Read It Watch It2. [-/1 Points] DETAILS SCALCET9 3.5.005.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER dx day by implicit differentiation. x2 - 10xy + yz = 10 dy Need Help? Read It Watch It Master It 3. [-/1 Points] DETAILS SCALCET9 3.5.015.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER d dy by implicit differentiation. dx y cos(x) = 3x2 + 2y2 ay Need Help? Read It Watch It Master It4. [-/1 Points] DETAILS SCALCET9 3.5.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If f(x) + x2[f(x)]4 = 18 and f(1) = 2, find f'(1). f'(1) = Need Help? Read It Watch It 5. [-/1 Points] DETAILS SCALCET9 3.5.043.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following equation. xy + 2e = 2e Find the value of y at the point where x = 0. y = Find the value of y' at the point where x = 0. y'= Find the value of y" at the point where x = 0. y'= Need Help? Read It