How do you compare either points (0,0) and (1,1) to see if it is max min or point of inflection for #y= 36x^2 +24x^2#?
Although I'm not really sure what you're asking about in terms of comparison, I can provide you with some information regarding that equation and its minimum, maximum, and inflection points.
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To determine whether the points (0,0) and (1,1) are a maximum, minimum, or point of inflection for the function y = 36x^2 + 24x^2, you need to analyze the second derivative of the function at those points.

Find the first derivative of y = 36x^2 + 24x^2: y' = d/dx (36x^2 + 24x^2) = 72x + 48x = 120x

Find the second derivative of y: y'' = d^2/dx^2 (120x) = 120

Evaluate the second derivative at the points (0,0) and (1,1): At (0,0): y''(0) = 120 At (1,1): y''(1) = 120
Since the second derivative is positive at both points, they are neither maximum nor minimum points. They are also not points of inflection because the concavity does not change around these points. Therefore, (0,0) and (1,1) are neither maxima, minima, nor points of inflection for the given function.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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