Conceptualizing Derivatives - Math

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Question

The speed of a car traveling on the highway is given by the following function of time:

Note that

What does this mean?

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Answer

The function gives you the car's speed at time . Therefore, the fact that means that the car's speed is at time . This is equivalent to saying that the car is not moving at time . We have to take the derivative of to make claims about the acceleration.

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Question

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

Tap to reveal answer

Answer

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms.

Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

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Question

The speed of a car traveling on the highway is given by the following function of time:

Note that

What does this mean?

Tap to reveal answer

Answer

The function gives you the car's speed at time . Therefore, the fact that means that the car's speed is at time . This is equivalent to saying that the car is not moving at time . We have to take the derivative of to make claims about the acceleration.

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Question

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

Tap to reveal answer

Answer

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms.

Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

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Question

The speed of a car traveling on the highway is given by the following function of time:

Note that

What does this mean?

Tap to reveal answer

Answer

The function gives you the car's speed at time . Therefore, the fact that means that the car's speed is at time . This is equivalent to saying that the car is not moving at time . We have to take the derivative of to make claims about the acceleration.

← Didn't Know|Knew It →

Question

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

Tap to reveal answer

Answer

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms.

Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

← Didn't Know|Knew It →

Question

The speed of a car traveling on the highway is given by the following function of time:

Note that

What does this mean?

Tap to reveal answer

Answer

The function gives you the car's speed at time . Therefore, the fact that means that the car's speed is at time . This is equivalent to saying that the car is not moving at time . We have to take the derivative of to make claims about the acceleration.

← Didn't Know|Knew It →

Question

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

Tap to reveal answer

Answer

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms.

Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

← Didn't Know|Knew It →

Knew It

Conceptualizing Derivatives - Math

The speed of a car traveling on the highway is given by the following function of time: Note that What does this mean?

The function gives you the car's speed at time . Therefore, the fact that means that the car's speed is at time . This is equivalent to saying that the car is not moving at time . We have to take the derivative of to make claims about the acceleration.

The speed of a car traveling on the highway is given by the following function of time: Consider a second function: What can we conclude about this second function?

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms. Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

The speed of a car traveling on the highway is given by the following function of time: Note that What does this mean?

The function gives you the car's speed at time . Therefore, the fact that means that the car's speed is at time . This is equivalent to saying that the car is not moving at time . We have to take the derivative of to make claims about the acceleration.

The speed of a car traveling on the highway is given by the following function of time: Consider a second function: What can we conclude about this second function?

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms. Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

The speed of a car traveling on the highway is given by the following function of time: Note that What does this mean?

The function gives you the car's speed at time . Therefore, the fact that means that the car's speed is at time . This is equivalent to saying that the car is not moving at time . We have to take the derivative of to make claims about the acceleration.

The speed of a car traveling on the highway is given by the following function of time: Consider a second function: What can we conclude about this second function?

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms. Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

The speed of a car traveling on the highway is given by the following function of time: Note that What does this mean?

The function gives you the car's speed at time . Therefore, the fact that means that the car's speed is at time . This is equivalent to saying that the car is not moving at time . We have to take the derivative of to make claims about the acceleration.

The speed of a car traveling on the highway is given by the following function of time: Consider a second function: What can we conclude about this second function?

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms. Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

The speed of a car traveling on the highway is given by the following function of time:

Note that

What does this mean?

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms.

Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

The speed of a car traveling on the highway is given by the following function of time:

Note that

What does this mean?

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms.

Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

The speed of a car traveling on the highway is given by the following function of time:

Note that

What does this mean?

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms.

Therefore, is the rate at which the car's speed changes, a quantity called acceleration.

The speed of a car traveling on the highway is given by the following function of time:

Note that

What does this mean?

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

Notice that the function is simply the derivative of with respect to time. To see this, simply use the power rule on each of the two terms.

Therefore, is the rate at which the car's speed changes, a quantity called acceleration.