To determine the slope of the tangent line to estimate the instantaneous rate of change at a given point, follow these steps:

1. Identify the function: The function is usually given in the problem. If not, you need to derive it from the information provided.

2. Differentiate the function: Use the rules of differentiation to find the derivative of the function. The derivative of a function gives us the slope of the tangent line at any point.

3. Substitute the point into the derivative: Once you have the derivative, substitute the x-value of the given point into the derivative. This will give you the slope of the tangent line at that point, which is the instantaneous rate of change at that point.

Remember, the slope of the tangent line at a particular point on a curve gives the instantaneous rate of change of the function at that point.

Question

To determine the slope of the tangent line to estimate the instantaneous rate of change at a given point, follow these steps:

1. Identify the function: The function is usually given in the problem. If not, you need to derive it from the information provided.

2. Differentiate the function: Use the rules of differentiation to find the derivative of the function. The derivative of a function gives us the slope of the tangent line at any point.

3. Substitute the point into the derivative: Once you have the derivative, substitute the x-value of the given point into the derivative. This will give you the slope of the tangent line at that point, which is the instantaneous rate of change at that point.

Remember, the slope of the tangent line at a particular point on a curve gives the instantaneous rate of change of the function at that point.

Knowee AI · Accepted Answer

To determine the slope of the tangent line to estimate the instantaneous rate of change at a given point, follow these steps:

1. Identify the function: The function is usually given in the problem. If not, you need to derive it from the information provided.

2. Differentiate the function: Use the rules of differentiation to find the derivative of the function. The derivative of a function gives us the slope of the tangent line at any point.

3. Substitute the point into the derivative: Once you have the derivative, substitute the x-value of the given point into the derivative. This will give you the slope of the tangent line at that point, which is the instantaneous rate of change at that point.

Remember, the slope of the tangent line at a particular point on a curve gives the instantaneous rate of change of the function at that point.

Determine the slope of the tangent line to estimate theinstantaneous rate of change at this point.

Question

Determine the slope of the tangent line to estimate the instantaneous rate of change at this point.

Solution

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