Posted by **Kimberly** on Friday, March 1, 2013 at 8:13pm.

Find the slope and the equation of the tangent line to the graph of the function f at the specified point.

f(x)=-10/3x^2+6x+6; (-1, -10/3)

slope ??

tangent line y = ?

- math -
**Knights**, Friday, March 1, 2013 at 9:30pm
already answered by bobpursley

- math -
**Kimberly**, Friday, March 1, 2013 at 9:36pm
he was wrong

- math -
**Reiny**, Friday, March 1, 2013 at 9:55pm
Kimberly, as I pointed out to you in another post, it is very important to use brackets in this format to establish the correct order of operation, since we cannot "build" fractions here.

bobpursley interpreted your equation as

f(x) = 10/(3x^2 + 6 x + 6)

and his answer is correct according to that equation

the way you typed it ....

f'(x) = (-20/3)x + 6

f'(-1) = 20/3 + 6 =38/3

so the slope is 38/3

equation:

y + 10/3 = (38/3)(x+1)

times 3

3y + 10 = 38(x+1)

3y = 38x + 38 - 10

3y = 38x + 28

y = (38/3)x + 28/3

or

38x - 3y = -28

## Answer this Question

## Related Questions

- Math Please Help!! - Find the slope and the equation of the tangent line to the ...
- Calculus - Find the slope and the equation of the tangent line to the graph of ...
- calculus - 1. Which of the following expressions is the definition of the ...
- math - Find the slope m and an equation of the tangent line to the graph of the ...
- math - Find the slope m and an equation of the tangent line to the graph of the ...
- math - Find the slope m and an equation of the tangent line to the graph of the ...
- math - Find the slope m and an equation of the tangent line to the graph of the ...
- College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...
- cal - find the equation of a quadratic function whose graph is tangent at x=1 to...
- calculus - To find the equation of a line, we need the slope of the line and a ...

More Related Questions