Problem 6 - College Algebra and Calculus: An Applied Approach

Question

Find the derivative of the function. $$ f(x)=-2 $$

Step-by-Step Solution

Answer

The derivative of the function \(f(x)=-2\) is \(f'(x) = 0\). because the derivative of a constant is always zero.

Step 1: Recognize the function

First recognize that the function in question is a constant function, \(f(x) = -2\). A constant function is a function that remains the same no matter what value is input as x.

Step 2: Identify the derivative of a constant

Next, identify that the derivative of a constant is always zero. This is one of the basic rules of differentiation.

Step 3: Apply the rule

Finally, apply the rule to the function \(f(x) = -2\). According to the identified rule, the derivative \(f'(x)\) is equal to zero.