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For on-topic questions involving the mathematical concept of a derivative, i.e. $\frac{d}{dx} f(x)$. For purely mathematical questions about the derivative it is better to ask on math SE https://math.stackexchange.com/
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derivative from regression model in R
Maybe this is what you're looking for, Ryacas lets you do a little algebra:
##### set your algebraic symbols
intercept = Ryacas::ysym("intercept")
educ = Ryacas::ysym("educ")
exper = Ryacas::ysym("exp …