Posted by **Leanna** on Wednesday, February 9, 2011 at 10:29pm.

Let f be the function defined for x >or= to 0 with f(0)=5 and f', the first derivative of f, give by f'(x)=e^(-x/4)sin(x^2).

A) Use the graph of f' to determine whether the graph of f is concave up, concave down, or neither on the interval 1.7<x<1.9. Explain your reasoning

I think since it is concave down because f'(x) is decreasing at this point.

B) On the interval 0<or=x<or=3, find the value of x at which f has an absolute maximum. Justify your answer.

C) Write an equation for the line tangent to the graph at f at x=2.

## Answer This Question

## Related Questions

- Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...
- Calculus - Consider a differentiable function f having domain all positive real ...
- Calculus - Use a symbolic differentiation utility to find the derivative of the ...
- Please check my Calculus - 1. Find the value(s) of c guaranteed by Rolle’s ...
- Calculus - The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), ...
- Please check my Calculus - 1. Given f(x)=-6/x, choose the correct statement A. ...
- calculus - Let g be a function that is defined for all x, x ? 2, such that g(3...
- Calculous - the figure shows the graph of F', the derivative of a function f. ...
- AP CALC. AB - Let h be a function defined for all x≠0 such that h(4)=-3 ...
- Calculus - The graph of f ′(x) is continuous and decreasing with an x-...

More Related Questions