Derive a formula for the slope of the function, Microeconomics

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Derive a formula for the slope of the function

Problem

1. Differentiate the function y = x³ + 60x.

2. What is the slope of the function y = 12 + 0.5x⁴when x = 5?

3. Derive a formula for the slope of the function y = 4 + 4x^-1 - 4x.

4. What is the slope of the function y = 4x^0.5when x = 4?

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.

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