# What are the inflection points of #f(x) = (x^2)(e^18x)#?

The slope is given by the first derivative, and the concavity by the second.

Yes, that is the only one in reality.

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To find the inflection points of ( f(x) = x^2 \cdot e^{18x} ), we need to find where the second derivative changes sign. The second derivative of ( f(x) ) is ( f''(x) = (36x^2 + 36x + 2)e^{18x} ). Setting ( f''(x) = 0 ) and solving for ( x ), we get ( x = -\frac{1}{2} ) and ( x = -1 ). These are the inflection points of the function.

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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.

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