You try to work out a pattern with the number of movements. You then turn your rule into an algebraic form eg. 2n + 3 (this is not the answer to the investigation but it might help.
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Fahrenheit = (Celsius * 1.8) + 32 Celsius = (Fahrenheit - 32) / 1.8
There are many uses in mathematics for derivative rules in order to derive from formulas. The main use of using derivative rules for mathematical formulas is to differentiate the logarithm.
I derive that this question needs to be moved.
The noun forms of the verb to derive are deriver, derivation, derivative, and the gerund, deriving.
The mathematician spent all day trying to derive the complex formula.