MathematicsHigh School

The derivative: concept and meaning

The limit of a rate of change

Estimated time · 13 min 9 Content blocks

Core concepts

Formulas

f′(x0)=lim⁡Δx→0f(x0+Δx)−f(x0)Δxf'(x_0) = \lim_{\Delta x \to 0} \frac{f(x_0+\Delta x) - f(x_0)}{\Delta x}

Derivation

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Worked example

Worked example
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Practice setDerivative practice
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Common misconceptions

Glossary

Limit
Tangent
Differentiable

Prerequisites

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