# If #f(x)= x^4-4x^3+4x^2-1#, how do you find all values of #x# where the graph of #f# has a horizontal tangent line?

Take the derivative of

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To find all values of ( x ) where the graph of ( f(x) = x^4 - 4x^3 + 4x^2 - 1 ) has a horizontal tangent line, you need to find where the derivative of ( f(x) ) is equal to zero. So, you need to find ( f'(x) ) and solve the equation ( f'(x) = 0 ) for ( x ). Then, you can determine the corresponding values of ( x ).

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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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