well you took the derivative correctly ad you know the required slop is equal to 1

just solve that equation.

Results 1 to 3 of 3

- Nov 15th 2007, 08:58 AM #1

- Joined
- Nov 2007
- Posts
- 6

## need help

Consider . Find all value(s), c, in the interval [0,1] such that the slope of the tangent line to the graph of f at c is parallel to the secant line through the point (0, f(0)) and (1, f(1)).

and slope of (0. f(0)) and (1,f(1)) is 1

This is all i can do, need help on this

thx in advance

- Nov 15th 2007, 09:22 AM #2

- Joined
- Oct 2007
- From
- London / Cambridge
- Posts
- 591

- Nov 15th 2007, 09:47 AM #3

- Joined
- May 2006
- From
- Lexington, MA (USA)
- Posts
- 12,028
- Thanks
- 846

Hello, Bryan!

You're almost there . . .

Consider .

Find all value(s), , in the interval [0,1] such that the slope of the tangent line

to the graph of at is parallel to the secant line through: and .

The slope of the tangent is: . . . . . Yes!

. . and slope of (0, f(0)) and (1, f(1)) is 1 . . . . Right!

So when is: . equal to ?