Results 1 to 4 of 4

Math Help - A Few Entrance-Level Calc. Problems

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    3

    A Few Entrance-Level Calc. Problems

    1. f(x) = (2x-1)^5 (x+1)
    What is the equation of the tangent line at x=1?

    a. y=21x+2
    b. y=21x-19
    c. y=11x-9
    d. y=10x+2
    e. y=10x-8


    2. f ' (x) = 2x+1 f(1) = 4
    Approximate f(1.2) using line tangent to the graph at x=1

    a. 0.6
    b. 3.4
    c. 4.2
    d. 4.6
    e. 4.64


    I appreciate any help.

    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member General's Avatar
    Joined
    Jan 2010
    From
    Kuwait
    Posts
    562
    Did you try anything ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2010
    Posts
    3
    These were the only two problems that I was unsure of how to approach. So, no, I have not tried anything. I'm not sure what approach to try. Any help is appreciated.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,325
    Thanks
    1295
    The tangent line to y= f(x) at x= a is y= f'(a)(x- a)+ f(a).
    What is the derivative of (2x-1)^5(x+1) at x= 1?

    You can approximate f(1.2), with f'(x)= 2x+ 1 and f(1)= 4, by taking the tangent line, at x= 1, evaluated at x= 1.2. What is f'(1) ?
    Last edited by HallsofIvy; April 22nd 2010 at 09:03 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. A few Pre-Calc problems in my AP Calc summer packet
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 30th 2010, 03:40 PM
  2. Replies: 45
    Last Post: August 5th 2009, 10:31 PM
  3. University entrance test in VN
    Posted in the Algebra Forum
    Replies: 2
    Last Post: July 6th 2009, 10:59 PM
  4. Jordan Curve (high level, graduation level)
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: April 29th 2009, 05:24 AM
  5. Calc 3, finding level sets of a function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 18th 2009, 09:29 AM

Search Tags


/mathhelpforum @mathhelpforum