Question

A function f is differentiable for all values of x in [0,6], and the graph with equation y=f(x) has a local minimum point at (2,4). The equation of the tangent at the point with the coordinates (2,4) is:

Answer 1

Step-by-step explanation:

The slope of tangent line at a max or a minimum is 0,.

So using point slope formula.

$y - 4 = 0(x - 2)$

$y = 4$

Is the equation of a tangent line. This means we have a horizontal line at y= 4. Horizontal lines have a slope of 0.