Here are five questions on differentiation that gradually increase in complexity:

1. Basic Concept:
   Differentiate the function $f(x) = 3x^2 + 5x - 7$ with respect to $x$.

2. Product Rule:
   Find the derivative of $g(x) = (2x^3 + 1)(x^2 - 4x + 3)$.

3. Chain Rule:
   Differentiate $h(x) = \sin(3x^2 + 2x)$ using the chain rule.

4. Implicit Differentiation:
   Find $\frac{dy}{dx}$ if $x^2 + y^2 = 25$.

5. Second Derivative:
   Compute the second derivative of $f(x) = e^{x^2}$.

Tip:

Always check whether a function requires the application of rules such as the product rule, chain rule, or implicit differentiation to avoid mistakes.

Would you like a detailed explanation or solution to any of these questions?