Suddenly Not So Ugly
If the parent function is a constant function, for example: f (x) = 2
The derivative function is automatically zero (0), f ' (x) = 0
If the parent function is a linear function, for example: f (x) = 2x
The derivative function is the slope of the line (m), f ' (x) = 2
If the parent function is a power, for example: f(x) = x^3
To convert from the parent function to the derivative function by taking the exponent and make it the coefficient, then subtract 1 from the exponent to get the derivative function.
f (x) = x^n
f ' (x) = n(x^(n-1))
Now with these short cuts the derivative function is not as ugly as it once was.
The next scribe is Ara.