Answer the following :

Calculus 1 with Analytic Geometry Activity 6. Higher Order Derivatives and Implicit Differentiation Comprehensively answer the following 1. y = v2x - 1; find y" 2. f(x) = 3x3 - x6, find f"(-1) 3. Vit y = 1 a. Find y' by implicit differentiation 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). 4. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. Draw the graph. a. xz - xy - yz = 1. (2.1) I hyperbolal b. x2 + y? = (2x] + 2yz - x)? (0,;) [candioldl