This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
\lim_{h \to 0} \frac{f(t+h) - f(t)}{h} $$
The image displays the definition of the derivative of a function.
Step 1: State the formula. The formula shown is:
Step 2: Explain the formula. This formula defines the derivative as the instantaneous rate of change of the quantity with respect to time . It is calculated as the limit of the average rate of change, , as the time interval tends to zero (becomes infinitesimally small).
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The image displays the definition of the derivative of a function. Step 1: State the formula.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.