Open Middle®
Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to fill in the boxes to make the equation true.
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