MathAnalysisCalculusDerivatives

Introduction to derivatives

A definition of the derivative

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Which of the following is the derivative of the function $f(x)$ ?

Select one option from the list

\lim\limits_{\triangle x \to 0} \dfrac{f}{x}

\lim\limits_{\triangle x \to 0} \dfrac{\triangle f}{\triangle x}

\lim\limits_{\triangle x \to \infty} \dfrac{\triangle x}{\triangle f(x)}

\lim\limits_{\triangle x \to \infty} \dfrac{f}{x}

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