# What is the maximum value that the graph of #f(x)=4x^2-24x+1#?

There is no maximum for this function. Just minimum (3,35), the function is convex.

Given

As

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you wanted to find the minimum, this could be done by taking the derivative and noting that the derivative will be equal to zero at extrema.

However, this may just be a trick question to see if you will answer with the minimum value without considering that the extreme point is a minimum and not the maximum.

Further details

The vertex s given by:

Advanced (calculus needed)

The first derivative is:

To find

The second derivative:

See for more: https://tutor.hix.ai https://tutor.hix.ai https://tutor.hix.ai

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The maximum value of the function (f(x) = 4x^2 - 24x + 1) can be found by locating the vertex of the parabola represented by this function. This maximum value occurs at the y-coordinate of the vertex.

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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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