23  Derivatives of assembled functions

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Reading questions

Reading question 23.1 Consider a function that uses both input and output scaling, for instance, $$g(t)\equiv Af(a(t-t_0))+B$$ with, as typical, the four scaling parameters $A,B,a,t_0$.

The derivative ${\partial }_{t}g(t)$ will have a different, but related formula.

1. Which of the four scaling parameters disappears from ${\partial }_{t}g(t)$?

2. Which of the two scaling parameters that appear inside parentheses in the formula for $g(t)$ will appear outside parentheses in the formula for ${\partial }_{t}g(t)$?

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