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  2. AP Calculus
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What does the Constant Multiple Rule state?

The derivative of a constant times a function is the constant times the derivative of the function.

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What does the Constant Multiple Rule state?

The derivative of a constant times a function is the constant times the derivative of the function.

Steps to find instantaneous rate of change at t=at=at=a.

  1. Find the derivative f′(t)f'(t)f′(t). 2. Evaluate f′(a)f'(a)f′(a). 3. Include units.

How to find the rate of change of Instagram likes at t=5t=5t=5 days?

  1. Find L′(t)L'(t)L′(t). 2. Evaluate L′(5)L'(5)L′(5). 3. Include units (likes per day).

How to find the rate of change of gas volume at t=4t=4t=4 minutes?

  1. Find G′(t)G'(t)G′(t). 2. Evaluate G′(4)G'(4)G′(4). 3. Include units (liters per minute).

Define instantaneous rate of change.

The rate of change of a function at a specific point in time.

What does f′(x)f'(x)f′(x) represent?

The instantaneous rate of change of f(x)f(x)f(x) with respect to xxx.

What are the units of f′(x)f'(x)f′(x)?

Units of f(x)f(x)f(x) divided by units of xxx.