Use Wolfram Alpha (https://www.wolframalpha.com/) to sketch the curve C below

Question

Use Wolfram Alpha (https://www.wolframalpha.com/) to sketch the curve C below. Then, draw the tangent line to the curve at \(x, y) = (2,-1) . Is the slope of this line positive or negative?

(b) Using implicit differentiation, find an equation for the tangent line at (x, y) = (2,-1)

Answer 1

There are several free online alternatives that are much more appropriate for basic curve sketching than Wolfram Alpha. Try Geogebra (which has a nice interface for tangent lines to boot) or Desmos.