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 find the derivative $f'(x)$ of the function $f(x)$. 5. Then evaluate the derivative at the point $x=a$ to get $f'(a)$. 6. This value $f'(a)$ represents the slope of the tangent line to the curve at $x=a$, which is the instantaneous rate of change. 7. If you provide the specific function and point, I can compute the exact instantaneous rate of change for you.