## parameters
a <- sample(2:9, 1)
b <- sample(seq(2, 4, 0.1), 1)
c <- sample(seq(0.5, 0.8, 0.01), 1)
## solution
res <- exp(b * c) * (a * c^(a-1) +
       b * c^a)

Question

What is the derivative of $f(x) = x^{r a} e^{r b x}$, evaluated at $x = r c$? A formula is $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.$$

Answerlist

Solution

There is some feedback here with R r fmt(res) and formulae $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$.

Meta-information

exname: Single Choice extype: schoice exsolution: 10000 exshuffle: TRUE



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exams.mylearn documentation built on April 20, 2021, 1:05 a.m.