Homework Help: Calculus

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.

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