# How do you find the inflection points of the graph of the function: #y=1/3x^3#?

Perform the initial derivative test now.

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To find the inflection points of the function ( y = \frac{1}{3}x^3 ), we need to find the second derivative and then solve for ( x ) where the second derivative equals zero or is undefined.

First derivative: ( \frac{dy}{dx} = x^2 )

Second derivative: ( \frac{d^2y}{dx^2} = 2x )

Set ( 2x = 0 ) to find where the second derivative is zero, which is at ( x = 0 ).

So, the inflection point is at ( x = 0 ).

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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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