Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to create a true derivative statement.

### Hint

What is true about the relationship between a function’s degree and its derivative?

What values in the coefficient could work with the exponent to not reuse any numbers?

### Answer

There are multiple answers (at least 12) to the problem. Below are a few examples.

1. d/dx(1/8)x^6 = (3/4)x^5

2. d/dx(2/3)x^9= (6/1)x^8

3. d/dx(1/6)x^8=(4/3)x^7

Extension: What numbers would not work as exponents?

Source: Melissa Flynn