Turunan dan Diferensiasi

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

g <- D(x^2 ~ x)
g(1)

## [1] 2

my_function <- function(x){
  return (5 * x^2)
}
my_function(4)

## [1] 80

g <- D(my_function(x) ~ x)
g(5)

## [1] 50

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

g <- D(3 * x ^ 2 - 2*x + 4 ~ x)
g(-6)

## [1] -38

g(-4)

## [1] -26

g(-3)

## [1] -20

g(-2)

## [1] -14

g(0)

## [1] -2

g(2)

## [1] 10

g(3)

## [1] 16

g(4)

## [1] 22

g(6)

## [1] 34

slice_plot(3 * x ^ 2 - 2*x + 4 ~ x,domain(x=range(40,-40)))

g <- D(5 * exp(0.2 * x) ~ x)
g(-5)

## [1] 0.3678794

g(-2)

## [1] 0.67032

g(-1)

## [1] 0.8187308

g(0)

## [1] 1

g(1)

## [1] 1.221403

g(2)

## [1] 1.491825

g(5)

## [1] 2.718282

slice_plot(5 * exp(0.2 * x) ~ x,domain(x=range(40,-40)))