Proof In Exercises 93 and 94, let f and g represent| differentiable functions such that .
Show that if f and g are concave upward on the interval (a, b), then is also concave upward on (a, b).
To prove: The function are concave upwards on the interval .
The functions f and g are concave upwards on the interval .
For a function f that is twice differentiable on an open interval I,
If for some c, and,
If the function f has relative minima at c
If the function f has relative maxima at c.
If , the test fails.
Define the following function:
Differentiate this twice to obtain:
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