High School Calculus/The Derivative

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The definition of a Derivative of a Function

Example


Use the limit definition with the given function

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle f'(x)=\lim_{{\Delta}x\rightarrow 0} \frac{2x{\Delta}x+{\Delta}x^2}{{\Delta}x}}