Results 1 to 4 of 4

Math Help - Calc anti derivative

  1. #1
    Junior Member
    Joined
    Jan 2008
    Posts
    31

    Calc anti derivative

    Consider the function f(x) = 4 sin(x2) on the interval 0 ≤ x ≤ 3.

    (a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum.
    x =

    (b) If F(1) = 6, estimate the maximum value attained by F.
    y
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Mar 2008
    Posts
    128
    Quote Originally Posted by bluejewballs View Post
    Consider the function f(x) = 4 sin(x2) on the interval 0 ≤ x ≤ 3.

    (a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum.
    x =

    (b) If F(1) = 6, estimate the maximum value attained by F.
    y

    Do you mean 4\sin{2x} or 4\sin({x^2})
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2008
    Posts
    31
    x^2
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Lord of certain Rings
    Isomorphism's Avatar
    Joined
    Dec 2007
    From
    IISc, Bangalore
    Posts
    1,465
    Thanks
    6
    Quote Originally Posted by bluejewballs View Post
    Consider the function f(x) = 4 sin(x2) on the interval 0 ≤ x ≤ 3.

    (a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum.
    x =

    (b) If F(1) = 6, estimate the maximum value attained by F.
    y
    To find maxima, we differentiate and set the function to zero. Then we evaluate the value of x for which this happens. Do the same thing... So what is the derivative of the antiderivative of f(x)?(with carefully defined limits)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. The anti-derivative law
    Posted in the Calculus Forum
    Replies: 10
    Last Post: September 24th 2011, 07:33 AM
  2. anti-derivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 4th 2010, 05:15 PM
  3. Anti-Derivative
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 16th 2009, 04:30 PM
  4. anti-derivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 3rd 2007, 05:00 PM
  5. Anti-derivative
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 24th 2007, 05:06 PM

Search Tags


/mathhelpforum @mathhelpforum