Question

If a function is decreasing with an upward concavity, what do you know about the function's first two derivatives?

Derivatives
ANSWERED
asked 2020-11-27
If a function is decreasing with an upward concavity, what do you know about the function's first two derivatives?

Answers (1)

2020-11-28
Step 1
Given:
If a function is decreasing with an upward concavity
To find:
the function's first two derivatives
i.e f'(x) and f''(x)
Step 2
If function is decreasing,
it means f'(x)
And f(x) has upward concavity,
it means f"(x)>0.
That means f(x) is approching towards relative minimum of the function.
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