library(mosaicCalc)
## Loading required package: mosaic
## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2
## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.
## 
## Attaching package: 'mosaic'
## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally
## The following object is masked from 'package:Matrix':
## 
##     mean
## The following object is masked from 'package:ggplot2':
## 
##     stat
## The following objects are masked from 'package:stats':
## 
##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var
## The following objects are masked from 'package:base':
## 
##     max, mean, min, prod, range, sample, sum
## Loading required package: mosaicCore
## 
## Attaching package: 'mosaicCore'
## The following objects are masked from 'package:dplyr':
## 
##     count, tally
## 
## Attaching package: 'mosaicCalc'
## The following object is masked from 'package:stats':
## 
##     D
df <- D(sin(x) ~ x)
ddf <- D(df(x) ~ x)
ddf(20)
## [1] -0.9129453

Untuk menyimpan pengetikan, kita dapat meletakkan beberapa variabel di sebelah kanan karakter ~, terutama jika Anda memiliki banyak variabel dalam ekspresi. Ini seperti turunan kedua untuk x :

another.ddf <- D(sin(x) ~ x & x)

Kita dapat memasukkan variabel baru anda pada diferensial juga seperti dibawah ini :

g<-D(another.ddf(x)~x)
g(5)
## [1] -0.2836622

berikut adalah contoh grafik dari turunan kedua

slice_plot(another.ddf(20) ~ a, 
           domain(a=range(20,70,20)))