Concave up Concave down?
f(x)= -6 sqrt (x)
I need to find concave up and down
I cant seem to get this answer correct if you could explain how you get the answer that would help greatly
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f(x)= -6 sqrt (x)
I need to find concave up and down
I cant seem to get this answer correct if you could explain how you get the answer that would help greatly
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Answers & Comments
Take the second derivative. Anywhere where the second derivative is greater than zero the function is concave up. Anywhere the second derivative is negative the function is concave down.
In this case the second derivative is:
3/2*x^(-3/2)
The second derivative and the original function are only real when x is greater than or equal to 0 and the second derivative is always positive, so the function is concave up over its entire domain.