Derive an expression for the slope of the function

Question

Problem

1. Derive an expression for the slope of the function y = 12x³.

2. What is the slope of the function y = 6x⁴ when x = 2?

3. What is the slope of the function y = 0.2x⁴ when x = 3?

4. Derive an expression for the slope of the function y = 52x³.

5. Make up your own single-term function and then differentiate it.

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.