Chapter 11.1, Problem 21E

Use implicit differentiation to find the equation of the tangent line to the curve xy³ + xy = 2 at the point (1, 1). The equation of this tangent line can be written in the form y = mx + b where m is where b is Question Help: Message instructor Submit Question Jump to Answer and

1. a) Copy and complete the table below: Original Function First derivative Second Derivative f(t) = -5° Original Function First derivative Second Derivative fG)-100 b) After completing the table in part 1 a) above, copy and complete the table below by stating the name of EACH function used and their respective derivatives: h(p)--2³-p 2. a) Differentiate the function Q(p) = -2√/p³(e b) Hence or otherwise, determine Q'(1).

Part 1 a) Given f(z) y + x2 + i(2x2 - y?), show which points where f has a derivative. b) Show that f (z) = z2 + z - 1 does not have a derivative at any point z E C.