# How do you find instantaneous rate of change for the equation # y=4x^3+2x-3#?

Take the derivative:

The rate of change for an equation may simply be defined mathematically as the slope at any point.

For each polynomial term, multiply the exponent times the coefficient and decrease the exponent by one.

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To find the instantaneous rate of change for the equation ( y = 4x^3 + 2x - 3 ), you need to find the derivative of the function with respect to ( x ). The derivative represents the rate of change of the function at any given point. In this case, the derivative of ( y ) with respect to ( x ) is ( y' = 12x^2 + 2 ). So, the instantaneous rate of change at any point ( x ) is given by ( y' = 12x^2 + 2 ).

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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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