- #1

- 15

- 0

## Homework Statement

is it possible to have a tangent line in a cubed function

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter Mejiera
- Start date

- #1

- 15

- 0

is it possible to have a tangent line in a cubed function

- #2

- #3

- 18

- 0

- #4

- 15

- 0

- #5

Mark44

Mentor

- 34,825

- 6,568

Doesn't matter. The tangent line is just a line that touches a curve at a point (a, f(a)) and whose slope is f'(a). The fact that the tangent line happens to intersect the graph of the function somewhere else is immaterial. Pretty much every odd-degree polynomial will have a tangent line that intersectst the curve somewhere else.

As it turns out, the tangent line to the graph of y = f(x) = 2x + 3 at any point happens to completely coincide with the graph of this function, but that doesn't keep it from being a tangent line.

- #6

- 3,472

- 251

- #7

- 15

- 0

ok thanks for clearing that up guys.

Share: