مشتقة دالة القوة

Derivative Concept

• المشتقة الأولى, also known as the first derivative, is a fundamental concept in mathematics that represents the rate of change of a function with respect to one of its variables.
• It is used to measure the instantaneous rate of change of a function at a specific point.

Notation in Calculus

• The first derivative is denoted as f'(x) or (d/dx)f(x) in calculus notation.

Example: Finding the First Derivative

• The first derivative of the function 3x^2 is found by applying the power rule of differentiation, which states that if f(x) = x^n, then f'(x) = nx^(n-1).
• Therefore, the first derivative of 3x^2 is 6x.

The translation of 'المشتقة الأولى' is 'first derivative'. In mathematics, the first derivative, or 'المشتقة الأولى', represents the rate of change of a function at a specific point. In calculus notation, the first derivative of a function f(x) is denoted as f'(x). Test your understanding of first derivatives and their applications in this quiz.