# What is the instantaneous rate of change of #f(x)=ln(2x^2-4x+6) # at #x=0 #?

Applying the rule of chain:

This reduces to:

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The instantaneous rate of change of f(x)=ln(2x^2-4x+6) at x=0 is undefined because the natural logarithm function ln is not defined for x=0.

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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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