The derivative of the function 𝑓(𝑥)=𝑥−5 is 𝑓′(𝑥)=1.

Here's the step-by-step process:

1. Identify the function: The function is 𝑓(𝑥)=𝑥−5.

2. Apply the power rule: The power rule states that the derivative of 𝑥^n is n𝑥^(n-1). In this case, 𝑥 is to the power of 1. So, applying the power rule gives us 1*𝑥^(1-1) = 𝑥^0 = 1.

3. Differentiate the constant: The derivative of a constant is 0. So, the derivative of -5 is 0.

4. Add the derivatives: The derivative of the function is the sum of the derivatives of its parts. So, 𝑓′(𝑥)=1+0=1.

Question

The derivative of the function 𝑓(𝑥)=𝑥−5 is 𝑓′(𝑥)=1.

Here's the step-by-step process:

1. Identify the function: The function is 𝑓(𝑥)=𝑥−5.

2. Apply the power rule: The power rule states that the derivative of 𝑥^n is n𝑥^(n-1). In this case, 𝑥 is to the power of 1. So, applying the power rule gives us 1*𝑥^(1-1) = 𝑥^0 = 1.

3. Differentiate the constant: The derivative of a constant is 0. So, the derivative of -5 is 0.

4. Add the derivatives: The derivative of the function is the sum of the derivatives of its parts. So, 𝑓′(𝑥)=1+0=1.

Knowee AI · Accepted Answer

The derivative of the function 𝑓(𝑥)=𝑥−5 is 𝑓′(𝑥)=1.

Here's the step-by-step process:

1. Identify the function: The function is 𝑓(𝑥)=𝑥−5.

2. Apply the power rule: The power rule states that the derivative of 𝑥^n is n𝑥^(n-1). In this case, 𝑥 is to the power of 1. So, applying the power rule gives us 1*𝑥^(1-1) = 𝑥^0 = 1.

3. Differentiate the constant: The derivative of a constant is 0. So, the derivative of -5 is 0.

4. Add the derivatives: The derivative of the function is the sum of the derivatives of its parts. So, 𝑓′(𝑥)=1+0=1.

Differentiate 𝑓(𝑥)=𝑥−5.𝑓′(𝑥)=

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