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

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

## [1] 20

g <- D(my_function(x) ~ x)
g(2)

## [1] 20

library(mosaicCalc)
my_function <- function(x){
return (sin(x - 45))
}
my_function(3)

## [1] 0.9165215

s2 <- D(A  * sin(2 * pi * t / P) + C ~ t)
## function (t, A, P, C) 
## A * (cos(2 * pi * t/P) * (2 * pi/P))
s2( t=3, A=5, P=20, C=4 )

## [1] 0.9232909

slice_plot(s2(t, A=5, P=20, C=4) ~ t, 
           domain(t=range(0,50)))