# How do you find the instantaneous rate of change of #f (x)= x ^2 +2 x ^4# at #x=1#?

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To find the instantaneous rate of change of (f(x) = x^2 + 2x^4) at (x = 1), you need to find the derivative of the function with respect to (x), (f'(x)). Then, evaluate (f'(1)) to get the instantaneous rate of change 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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