Math Problem Statement

determine from the first principles,

f′(x) if f(x)=−2x. Then based on your working, what is the correct expression for

f(x+h)−f(x)?

Solution

To determine the derivative of f(x)=−2xf(x) = -2x from first principles, we use the definition of the derivative:

[ f'(x) = \lim_{h \to 0}

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Math Problem Analysis

Mathematical Concepts

Derivatives
First Principles

Formulas

Definition of derivative

Theorems

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Suitable Grade Level

Grades 11-12

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