1. The question C asks you to show the analytic procedure for the solutions of parts a and b. 2. This means you need to manually find the derivatives of the given functions using differentiation rules, not just run the program. 3. For part a, you will differentiate functions involving exponential expressions like $y(x) = e^{6x^4 + 3x - 2}$, $y(x) = e^{3x - 2}$, and $y(x) = e^{kx}$ for $n=1,2,3$. 4. For part b, you will differentiate polynomial and trigonometric functions like $y(x) = 5x^2$, $y(x) = x^7$, $y(x) = \sin(x)^{\cos(x)}$, and $y(x) = \tan(x)^{\sec(x)}$ for $n=1,2$. 5. The analytic procedure involves applying differentiation rules such as the chain rule, product rule, power rule, and derivatives of exponential and trigonometric functions step-by-step. 6. You should write out each step clearly showing how you arrive at the derivatives, explaining the rules used and simplifying the expressions. 7. This helps demonstrate your understanding of differentiation beyond just coding it.