Posted by **Sam** on Monday, May 21, 2012 at 9:27am.

I am not sure what to do here:

Find the derivative (f '(x) using the limit process

a). f(x)= 2x^2+5x+2 find f ' (2)

b.) Find the equation of the Tangent Line at (1,5)

- Calculus -
**Steve**, Monday, May 21, 2012 at 10:21am
suppressing the limit notation for the moment,

f' = [f(x+h)-f(x)]/h

f' = [(2(x+h)^2 + 5(x+h) + 2) - (2x^2 + 5x + 2)]/h

f' = [(2x^2 + 4xh + 2h^2) + (5x + 5h) + 2 - (2x^2 + 5x + 2)]/h

f' = (4xh + 2h^2 + 5h)/h

f' = 4x + 5 + 2h

lim as h->0 = 4x+5

-------------------------

f'(1) = 9

(y-5) = 9(x-1)

- Calculus -
**Sam**, Monday, May 21, 2012 at 10:43am
Thank you so so much! I finally understand what to do! :)

## Answer this Question

## Related Questions

- Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...
- Derivative Calculus - I just need my answers checked. 1) Find the derivative. f(...
- calculus - Consider the function. f (x) = 5x3 + 3x (a) Compute the derivative at...
- Calculus - Damon - Find the line which passes through the point (0, 1/4) and is ...
- Calculus - 1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/...
- calculus - 1. Which of the following expressions is the definition of the ...
- calculus - 1. Which of the following expressions is the definition of the ...
- Calculus - Tangent Line - Hi, im having problems with the following problem. The...
- Calculus - I am unsure of how to take the derivative of this equation. It may be...
- Calculus - 1. a) For the Function and point below , Find f’(a). b) Determine ...