Subtraction is a basic arithmetic operation that involves finding the difference between two numbers. It is denoted by the symbol “-” and is the inverse operation of addition. When we subtract two numbers, we are essentially finding out how much one number is less than the other.
Differentiation, on the other hand, is a mathematical process that involves finding the rate of change of a function with respect to its independent variable. It is denoted by the symbol “d/dx” and is used to calculate the slope of a curve at a given point.
To differentiate the function f(x) = 2 - x, we need to use the power rule of differentiation, which states that the derivative of a constant multiplied by a variable raised to a power is equal to the constant multiplied by the power of the variable, with the power reduced by one.
Using this rule, we can differentiate f(x) as follows:
f’(x) = d/dx (2 - x) = d/dx (2) - d/dx (x) = 0 - 1 = -1
Therefore, the derivative of f(x) = 2 - x is f’(x) = -1. This means that the slope of the curve at any point on the function is always -1.
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