Posted by **Cecille** on Wednesday, March 23, 2011 at 7:39pm.

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.

- Calculus Please Help -
**TutorCat**, Wednesday, March 23, 2011 at 8:10pm
x=2 could be rewritten as (2,0)

Look at example 1:

http://www.cliffsnotes.com/study_guide/Tangent-and-Normal-Lines.topicArticleId-39909,articleId-39887.html

- Calculus Please Help -
**Reiny**, Wednesday, March 23, 2011 at 9:49pm
f(x) = x^3 - x^2 + x - 1

f'(x) = 3x^2 - 2x + 1

when x=2 , f'(1) = 12 - 4 + 1 = 9

also when x=2, f(2) = 8 - 4 + 2 -1 = 5

so the tangent has a slope of 9 and passes through (2,5)

equation of tangent is y = 9x + b

at (2.5)

5 = 9(2) + b

b = -13

equation of tangent: y = 9x - 13

## Answer this Question

## Related Questions

- Calculus PLEASE HELP - Find the slope m of the tangent line to the graph of the ...
- Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...
- Calculus - 1) An equation of the line contains points (7/9, 7) and (-7/9) is 2) ...
- calculus - find the equation of a quadratic function whose graph is tangent at x...
- Calculus - If f(x)=(3x)/(1+x^2) find f′(4). Use this to find the equation ...
- calculus - 5. Let f be the function given by f(x) = x3- 7x + 6. a. Find the ...
- Calculus - Please help this is due tomorrow and I dont know how to Ive missed a ...
- Calculus. I need help! - HARDER PARTS WAS 3(x^2+y^2)^2=26(y^2+y^2) Find the ...
- COLLEGE CALCULUS. - Use implicit differentiation to find the equation of the ...
- math calculus - Use implicit differentiation to find the equation of the tangent...

More Related Questions