IB DP Maths: AI SL复习笔记5.1.1 Introduction to Differentiation
Introduction to Derivatives
- Before introducing a derivative, an understanding of a limit is helpful
What is a limit?
What might I be asked about limits?
You may be asked to use your GDC to plot the graph and use values from it to estimate a limit
What is a derivative?
- Calculus is about rates of change
- the way a car’s position on a road changes is its speed
- the way the car’s speed changes is its acceleration
It is also called the gradient function
How are limits and derivatives linked?
What is the notation for derivatives?
What might I be asked about derivatives?
From a series of gradient values, you may be asked to suggest an expression for the derivative (gradient function) of a function
Worked Example
Differentiating Powers of x
What is differentiation?
- Differentiation is the process of finding an expression of the derivative (gradient function) from the expression of a function
How do I differentiate powers of x?
How do I differentiate sums and differences of powers of x?
Exam Tip
Worked Example
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