# Is #f(x)=-2x^2-2x-1# increasing or decreasing at #x=-1#?

It is increasing at

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To determine if ( f(x) = -2x^2 - 2x - 1 ) is increasing or decreasing at ( x = -1 ), we need to evaluate the sign of the derivative of the function at that point.

The derivative of ( f(x) ) with respect to ( x ) is ( f'(x) = -4x - 2 ).

Evaluate ( f'(-1) ):

( f'(-1) = -4(-1) - 2 = 4 - 2 = 2 )

Since ( f'(-1) ) is positive, ( f(x) ) is increasing at ( x = -1 ).

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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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