Is #f(x)=x^3-x+e^(x-x^2) # concave or convex at #x=1 #?
Evelyn AgardIt is convex.
The function will be convex if the second derivative is positive, and concave if it is negative. Weisstein, Eric W. "Second Derivative Test." From MathWorld--A Wolfram Web Resource. https://tutor.hix.ai
Calculation detail steps here: https://tutor.hix.ai
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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