Calculus

the local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency,

f'(x) <0
f'(x)>0
f"(x) <0
f"(x) >0

  1. 👍 0
  2. 👎 0
  3. 👁 511
  1. the line must lie above the curve, so the graph must be concave down.
    So, what do you think?

    1. 👍 0
    2. 👎 0
  2. f"(x) < 0 ???????

    1. 👍 0
    2. 👎 0
  3. right

    1. 👍 0
    2. 👎 0
  4. but I posted this answer in my homework and the teacher marked (zero). I don't know what happened

    1. 👍 0
    2. 👎 0
  5. I can not imagine what happened but agree that the second derivative is negative.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Determine which function has the greater rate of change in questions 1−3 1. x y ------- -1 0 0 1 1 2 2 3 (1 point) The rates of change are equal. The graph has a greater rate of change.*** The table has a greater rate of change.

    asked by HELLPP on April 27, 2015
  2. math help please

    Determine which function has the greater rate of change in questions 1−3 1. x y ------- -1 0 0 1 1 2 2 3 (1 point) The rates of change are equal. The graph has a greater rate of change.*** The table has a greater rate of change.

    asked by Linda on April 9, 2015
  3. MATH

    Determine which function has the greater rate of change in questions 1−3 1. x y ------- -1 0 0 1 1 2 2 3 (1 point) The rates of change are equal. *** The graph has a greater rate of change. The table has a greater rate of

    asked by XenaGonzalez on April 12, 2015
  4. Calculus 1

    Find the linear approximation of the function g(x)=cube root(1+x) at a=0.

    asked by TayB on October 13, 2015
  5. statistics/normal distribution

    If np is greater than or equal to 5, and nq is greater than or equal to 5, estimate P(fewer than 8) with n =14 and p = 0.6 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 5,

    asked by slomomo on February 25, 2015
  1. calculus

    Use the linear approximation (1+x)^k=1+kx to find an approximation for the function f(x)=1/square root of (4+x) for values of x near zero.

    asked by Anonymous on March 6, 2008
  2. Cal 1

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.)

    asked by Dee on March 7, 2013
  3. Math

    Hi everyone, my name is Emerson. I was wondering if anybody could help me on a test. I'm stuck on some, but I think I know some others. Thank you! 1. Translate the phrase "nine more than two times a number" in to an algebraic

    asked by Emerson on December 7, 2015
  4. math

    7. The tennis team is selling key chains as a fundraiser. If its goal is to raise is at least 180, how many key chains must it sell at $2.25 each to meet that goal? Write and solve an inequality. a. 2.25k (greater than or equal

    asked by john on October 18, 2016
  5. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of

    asked by Amy on February 21, 2011
  6. Math (linear approximation)

    Find a linear approximation of the function f(x)=(1+x)^(1/4) at a=1, and use it to approximate the numbers (.95)^(1/4) and (1.1)^(1/4). Round your answers to the nearest thousandth Cheers in advance!

    asked by Alison on November 29, 2011

You can view more similar questions or ask a new question.