# deriv2: Product Rule for Derivatives (Single-Choice)

Exercise template for computing the derivative (single-choice) of a product function with factors of type x^{a} and exp(b * x) at a given point c, with randomly-drawn a, b, and c.

**Name:**

`deriv2`

**Type:**

**Related:**

**Description:**

Computing the first derivative of a product function with two factors and randomly-drawn parameters, using the product rule. In addition to the correct solution, four false alternatives are generated through

`num_to_schoice()`

by providing two common errors along with a range and minimal delta for two further random solutions.**Solution feedback:**

Yes

**Randomization:**

Random numbers

**Mathematical notation:**

Yes

**Verbatim R input/output:**

No

**Images:**

No

**Other supplements:**

No

*(Note that the HTML output contains mathematical equations in MathML, rendered by MathJax using ‘mathjax = TRUE’. Instead it is also possible to use ‘converter = “pandoc-mathjax”’ so that LaTeX equations are rendered by MathJax directly.)*

**Demo code:**

```
library("exams")
set.seed(403)
exams2html("deriv2.Rmd", mathjax = TRUE)
set.seed(403)
exams2pdf("deriv2.Rmd")
set.seed(403)
exams2html("deriv2.Rnw", mathjax = TRUE)
set.seed(403)
exams2pdf("deriv2.Rnw")
```