# Can someone help me with this question ? i cant find the derivatives or the others !! someone help me please ?

Please see below.

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Let's take the derivative of the function using the Product Rule:

We set this derivative equal to

Let's find the

The point has the coordinates of

To find out whether the function is increasing or decreasing before and after this point, we use the derivative. We know that the slope of the tangent line to any curve at a specific point can be found by plugging the

If the result is positive the tangent line has a positive slope

Let's test a point with the

Now, let's try a point with the

This indicates that the point

And because we only have this one critical point, we can determine that the function is increasing when:

And it is decreasing when:

Let's take the second derivative of the function:

We set this second derivative equal to

Let's plug this into the function to find its

Now, we can perform the second derivative test to determine concavity. We will test an

This means the curve is concave up when:

And it is concave down when:

There is no relative minimum or relative maximum. The maximum point we found is the absolute maximum. There is no absolute minimum either.

We set

We set

The graph of the function is:

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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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