Math Problem Statement

Jika f(x) = 2x - 5 maka f'(x) = ....

Solution

The problem asks for the derivative f(x)f'(x) of the function f(x)=2x5f(x) = 2x - 5.

To solve:

  1. The derivative of f(x)=2x5f(x) = 2x - 5 is calculated using basic differentiation rules:
    • The derivative of 2x2x is 22.
    • The derivative of the constant term 5-5 is 00.

Thus, f(x)=2f'(x) = 2.

The correct answer is: A. 2

Would you like further explanation or details? Here are 5 related questions for practice:

  1. What is the derivative of f(x)=3x+4f(x) = 3x + 4?
  2. How do you find the slope of a linear function from its derivative?
  3. What does the derivative represent in the context of a graph?
  4. If g(x)=5x23x+2g(x) = 5x^2 - 3x + 2, what is g(x)g'(x)?
  5. How do you apply the power rule for differentiation?

Tip: Always simplify the function before applying differentiation rules for easier calculations.

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Math Problem Analysis

Mathematical Concepts

Differentiation
Linear Functions

Formulas

Derivative of a linear function f(x) = mx + b is f'(x) = m

Theorems

Basic Differentiation Rules

Suitable Grade Level

Grades 10-11