Derivative from first principles
Differentiation · Mathematics
Study notes
Q: Find the derivative of f(x) = x² from first principles. [f(x+h)−f(x)]/h = [(x+h)²−x²]/h = [2xh+h²]/h = 2x+h. Limit h→0: f'(x) = 2x.
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Differentiation · Mathematics
Q: Find the derivative of f(x) = x² from first principles. [f(x+h)−f(x)]/h = [(x+h)²−x²]/h = [2xh+h²]/h = 2x+h. Limit h→0: f'(x) = 2x.