Chapter 4, Problem 47RE

Tangent lines are drawn to the curve y = -x2 − 2 from the point (0, 2). Find the points at which the tangent lines touch the curve. Also illustrate with a diagram.

Find an equation of the tangent line to the curve (a lemniscate) at the point (3, -1). 2(x² + y²)² = 25(x² - y²) An help (equations) of the tangent line to the lemniscate at the given point is

Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in point-slope form. Submit On the axes provided, sketch the tangent line to the function g(x) at the point (2, g(2)). -2 6