# How do you find the critical numbers of #f(x) = (4 x - 6)e^{-6 x} #?

The only critical number is

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To find the critical numbers of ( f(x) = (4x - 6)e^{-6x} ), you first need to find the derivative of the function, ( f'(x) ), and then solve for the values of ( x ) where ( f'(x) = 0 ) or ( f'(x) ) is undefined.

( f'(x) = (4 - 24x)e^{-6x} - 6(4x - 6)e^{-6x} )

Next, set ( f'(x) ) equal to zero and solve for ( x ):

( (4 - 24x)e^{-6x} - 6(4x - 6)e^{-6x} = 0 )

Solve for ( x ) in the equation above to find the critical numbers.

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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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