1.1.5 - Applications of Finite Differences
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Practice Questions
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What is a finite difference?
💡 Hint: Think about how derivatives are represented.
Name one application of finite differences.
💡 Hint: Consider how we estimate values between known points.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a finite difference represent?
💡 Hint: Think back to the definition of finite differences.
True or False: Finite differences are only used for interpolation.
💡 Hint: Consider the multiple uses of finite differences.
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Challenge Problems
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Given the function values f(1)=3, f(2)=6, f(3)=11, calculate the first and second forward differences.
💡 Hint: Use the finite difference formula for each step.
How would you apply finite differences to approximate the derivative of f(x)=x^2 at x=2?
💡 Hint: Compute f(2+h) and subtract f(2).
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