1. The problem is to find the instantaneous rate of change of a function at a given point. 2. The instantaneous rate of change of a function $f(x)$ at a point $x=a$ is given by the derivative $f'(a)$. 3. The derivative is defined as the limit: $$f'(a) = \lim_{h \to 0} \frac{f(a+h) - f(a)}{h}$$ 4. To find the instantaneous rate of change, first identify the function $f(x)$ and the point $a$ where you want the rate. 5. Substitute $a$ into the derivative formula and simplify the expression step-by-step. 6. Use algebraic simplification and limit properties to evaluate the limit. 7. The result is the instantaneous rate of change of the function at $x=a$. Note: Please provide the specific function and point if you want a detailed calculation.