1. The problem is to solve a calculus problem from the chapter on calculus. 2. Since the user did not specify a particular problem, let's consider a common calculus problem: finding the derivative of a function. 3. The formula for the derivative of a function $f(x)$ is given by: $$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$$ 4. Important rules include the power rule, product rule, quotient rule, and chain rule. 5. For example, let's find the derivative of $f(x) = x^3 + 2x^2 - 5x + 7$. 6. Using the power rule, the derivative is: $$f'(x) = 3x^2 + 4x - 5$$ 7. This derivative tells us the rate of change of the function at any point $x$. 8. Therefore, the solution to the example problem is: $$f'(x) = 3x^2 + 4x - 5$$