Tangent Line

From the graph screen, press DRAW (located above the PRGM key) to access the draw menu. Press to select 5:Tangent(. Enter the x-value at which you want the tangent line. To find the tangent line to the curve at X = 1, press . The indicated point is marked, the tangent line is drawn, and its equation is displayed.

From the graph screen we can find and draw the equation of a tangent line at a specified point on the graph of a function. For illustration, we find the tangent line to the function.

at x = 1. First, enter the function into the Y= editor, press to access the zoom menu, then press to select 6:ZStandard.

Here, the equation of the tangent line to at x = 1 is y = -.6x + 4.4.