Ask a New Question
Menu

The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(1-1/x^2)cos(x+1/x).

A. Find all values of x in the interval 0.12<=x<=1 at which the graph of g has a horizontal tangent line.

B. On what subintervals of (0.12,1), if any, is the graph of g concave down? Justify you answer.

C. Write an equation for the line tangent to the graph of g at x=0.3.

D. Does the line tangent to the graph of g at x=0.3 lie above or below the graph of g for 0.3<x<1? Why?

I have no clue how to solve this. Can you please help me step by step. Thanks

1 answer

http://dnichols30582.edublogs.org/files/2011/04/2010B2-2ibo364.pdf
Similar Questions
  1. A quadratic function is defined byf(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of
    1. answers icon 2 answers
  2. A quadratic function is defined byf(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of
    1. answers icon 0 answers
  3. Function f and g are defined byf:x→4-x and g:x→px^2+q where p and q are constants.Given that the composite function
    1. answers icon 1 answer
  4. #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + kwhere a, b and k are constants. The function f has a
    1. answers icon 5 answers
more similar questions