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May 24, 2015

Homework Help: calculus

Posted by bill on Saturday, February 25, 2012 at 3:32pm.

Consider a differentiable functionf having domain all positive real numbers, and for which it is known that f'(x)=(4-x)^-3 for x.0
a. find the x-coordinate of the critical point f. DEtermine whether the point is a relative maximum or minomum, or neither for the fxn f. justify your answer.
b) find all intervals on which the graph of f is concave down. jusity answer.
c. given that f(1)=2 determine the fxn f.

here's my work so far
(4-x)^-3=0
4x^-3-((x^2)^-3)
4x^-3-x^-6=0
4-x=0.......x^-3
+4..+4......x=0
-x=4
x=-4

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