Calculus
posted by Sarah .
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4x)x^3 for x>0.
A. Find the xcoordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither for the function f. Justify your answer.
B. Find all intervals in which the graph of f is concave down. Justify your answer.
C. Given that f(1)=2, determine the function of f.
A I know for max and min you use first derivative and equal the function to 0 for critical numbers.
BI know concave down is determined from the second derivative.
CDo not have any idea how to do it
Thanks for your help
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