Nama: Marsya Adeline Deswintarani , NIM : 220605110065 ,Kelas : C , MataKuliah : Kalkulus , Dosen Pengampu : Prof. Dr. Suhartono, M.Kom. Jurusan : Teknik Informatika, Universitas :UIN MALIK IBRAHIM MALANG

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

func=makeFun(x^3 - 5*x ~ x)
AROC=makeFun( (func(b) - func(a))/(b-a) ~ a & b)
AROC(a=2,b=2.1)

## [1] 7.61

func=makeFun(x^3 - 5*x ~ x)
AROC=makeFun( (func(b) * func(a))/(b-a) ~ a & b)
AROC(a=2,b=2.01)

## [1] 385.8798

func=makeFun(x^3 - 5*x ~ x)
AROC=makeFun( (func(b) ^ func(a))/(b-a) ~ a & b)
AROC(a=2,b=2.001)

## [1] 251.7607

func=makeFun(x^3 - 5*x ~ x)
AROC=makeFun( (func(a) - func(b))/(b-a) ~ a & b)
AROC(a=1.99999,b=2)

## [1] -6.99994

func=makeFun(x^5 - 26*x ~ x)
AROC=makeFun( (func(a) - func(b))/(a-b) ~ a & b)
AROC(a=4,b=3.01)

## [1] 758.7706

func=makeFun(x^5 - 26*x ~ x)
AROC=makeFun( (func(a) - func(b))/(a-b) ~ a & b)
AROC(a=100,b=4.5)

## [1] 104711997

func=makeFun(x^6 - 55*x ~ x)
AROC=makeFun( (func(a) - func(b))/(a-b) ~ a & b)
AROC(a=2,b=5.01)

## [1] 5177.372

func=makeFun(x^3 - 37*x ~ x)
AROC=makeFun( (func(a) - func(b))/(a-b) ~ a & b)
AROC(a=4,b=3.0)

## [1] 0

func=makeFun(x^2 - 46*x ~ x)
AROC=makeFun( (func(a) - func(b))/(a-b) ~ a & b)
AROC(a=8,b=61)

## [1] 23

func=makeFun(x^5 - 6*x ~ x)
AROC=makeFun( (func(b) - func(a))/(a-b) ~ a & b)
AROC(a=8,b=91)

## [1] -75184195