titik maksimum dan titik minimum

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

## The legacy packages maptools, rgdal, and rgeos, underpinning the sp package,
## which was just loaded, will retire in October 2023.
## Please refer to R-spatial evolution reports for details, especially
## https://r-spatial.org/r/2023/05/15/evolution4.html.
## It may be desirable to make the sf package available;
## package maintainers should consider adding sf to Suggests:.
## The sp package is now running under evolution status 2
##      (status 2 uses the sf package in place of rgdal)

## 
## Attaching package: 'mosaicCalc'

## The following object is masked from 'package:stats':
## 
##     D

f3 <- function(x) sin(3*x) + cos (2*x) + sin(4*x)
curve(f3, from =(0) ,to = 2* pi)

optimize(f3, interval = c(0, 2*pi)) #minimum lokal

## $minimum
## [1] 4.234394
## 
## $objective
## [1] -1.382775

optimize(f3, interval = c(4, 2*pi))#minimum global

## $minimum
## [1] 5.772343
## 
## $objective
## [1] -1.367738

optimize(f3, interval = c(0, 2*pi), maximum = T)#maximum lokal

## $maximum
## [1] 3.292591
## 
## $objective
## [1] 1.085018

optimize(f3, interval = c(0, 1,5), maximum = T) 

## $maximum
## [1] 3.292579
## 
## $objective
## [1] 1.085018