Question

Производная функции f(x) = x-5

Answer 1

f'(x)=1

Производная константы равна нулю. а икса единице.

Answer 2

Решение во вложении:

Answer 3

To find the derivative of the function f(x) = x - 5, you can use the basic rules of differentiation. The derivative of a function represents the slope of the tangent line to the graph of the function at any given point.

The derivative of f(x) = x - 5 can be found using the power rule, which states that the derivative of x^n is n*x^(n-1), where n is a constant.

Here's the step-by-step process:

1. Identify the function: f(x) = x - 5

2. Apply the power rule: The derivative of x is 1, and the derivative of the constant -5 is 0 (the derivative of a constant is always zero).

3. Combine the results: The derivative of f(x) = x - 5 is 1x^(1-1) - 0 = 1.

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