3.2 - Numerical Differentiation
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Practice Questions
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What is numerical differentiation?
💡 Hint: Think about derivatives and how they're calculated.
Describe the forward difference method.
💡 Hint: Recall the formula for forward difference.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is numerical differentiation?
💡 Hint: Remember, it relates to how we deal with derivatives.
The error for central difference method is proportional to which order?
💡 Hint: Consider how that compares to forward and backward differences.
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Challenge Problems
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Using the function f(x) = x^3, calculate the derivative at x=2 using both the forward and central difference methods with h = 0.1. Compare your results and discuss accuracy.
💡 Hint: Remember to apply the formulas for both methods correctly.
Discuss the implications of selecting different values for h in numerical differentiation in a real-world context, such as robotics or physics simulations.
💡 Hint: Consider the trade-offs seen in actual applications.
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