finding inflection points in restricted cubic splines

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I'd like to investigate the nonlinear relationship between independent and dependent variables. I've done this with the RMS package.

library(rms)
test_model <- ols(BMD_ALL ~ rcs(BMI, 4)+gender+age,data=test,x=TRUE, y=TRUE)

enter image description here I want to further find the inflection point, but I failed as f(lower) * f(upper) > 0

f <- Function(test_model)
uniroot_out <- uniroot(f = f,    # Find root
                       interval = c(20, 35))
uniroot_out

What should I do?

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