The derivative of a function can be found using the power rule, which states that the derivative of x^n is n*x^(n-1).

Step 1: Identify the power of x in the function. In this case, the function is f(x) = x - 5. The power of x is 1.

Step 2: Apply the power rule. The derivative of x^1 is 1*x^(1-1) = 1*x^0 = 1.

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

Step 4: Add the derivatives of each term in the function. The derivative of f(x) = x - 5 is 1 + 0 = 1.

So, the derivative of the function f(x) = x - 5 is 1.

Question

The derivative of a function can be found using the power rule, which states that the derivative of x^n is n*x^(n-1).

Step 1: Identify the power of x in the function. In this case, the function is f(x) = x - 5. The power of x is 1.

Step 2: Apply the power rule. The derivative of x^1 is 1*x^(1-1) = 1*x^0 = 1.

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

Step 4: Add the derivatives of each term in the function. The derivative of f(x) = x - 5 is 1 + 0 = 1.

So, the derivative of the function f(x) = x - 5 is 1.

Knowee AI · Accepted Answer

The derivative of a function can be found using the power rule, which states that the derivative of x^n is n*x^(n-1).

Step 1: Identify the power of x in the function. In this case, the function is f(x) = x - 5. The power of x is 1.

Step 2: Apply the power rule. The derivative of x^1 is 1*x^(1-1) = 1*x^0 = 1.

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

Step 4: Add the derivatives of each term in the function. The derivative of f(x) = x - 5 is 1 + 0 = 1.

So, the derivative of the function f(x) = x - 5 is 1.

Differentiate 𝑓(𝑥)=𝑥−5.