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Derivative
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20:14
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mathonify
Finding the Derivative from First Principles - AS Level/Year 12 Mathematics
In this video you can practice using the definition of the derivative to differentiate some basic functions. At the same time we need to recognise that differentiation from first principles is the "long way" to find derivatives so we want to look out for some rules to use in the future. Differentiation from first principles explained: https ...
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Nov 25, 2022
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The limit definition of the derivative is the rigorous algebraic foundation of differential calculus, calculating the instantaneous rate of change of a function at a specific point. Formally expressed as the limit of the difference quotient $\\lim_{h \\to 0} \\frac{f(x h) - f(x)}{h}$, it represents the exact slope of the tangent line to a curve. Mastering this first-principles approach is a necessary milestone for all calculus students before transitioning to faster shortcut differentiation rule
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