AP Calculus AB/BC

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Parametric Second Derivative

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AP Calculus AB/BC

Definition

The parametric second derivative refers to finding the rate at which the rate of change (derivative) of a function described by parametric equations is changing with respect to time.

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Practice Questions (1)

You have developed a new strain of bacteria in your lab. You have made DNA modifications that allow it to become resistant to an antibiotic. However, a side effect of the antibiotic is the inability to reproduce as quickly as the original strain. You find that the number of births in the colony as a function of time is B(t) = √t. Additionally, you find that the number of deaths in the colony as a function of time can be modeled by the parametric function D(t) = ln(t). Find the value of the parametric second derivative, d^2B/dD^2, at time t = 2.

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Parametric Second Derivative

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AP Calculus AB/BC

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Parametric Second Derivative

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AP Calculus AB/BC

Definition

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"Parametric Second Derivative" also found in:

Practice Questions (1)

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