3 Questions
What is the significance of 'المشتقة الأولى' in mathematics?
It represents the rate of change of a function
How is 'المشتقة الأولى' denoted in calculus notation?
f'(x)
المشتقة الأولى للدالة 3س2
6×س
Study Notes
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.
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