Numerical Differentiation and Finite Difference Quiz

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5 Questions

In numerical differentiation, what does the small number 'h' represent?

A small change in x

What is the slope of the secant line through the points $(x, f(x))$ and $(x + h, f(x + h))$?

${f(x+h)-f(x) \over h}$

What is the slope of the secant line as 'h' approaches zero?

The slope of the tangent line

What is the true derivative of $f$ at $x$?

The limit of the function as 'h' approaches zero

What is another name for Newton's difference quotient?

First-order divided difference

Test your knowledge on numerical differentiation algorithms and finite difference approximations. Learn about estimating derivatives of mathematical functions using various methods in numerical analysis.

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