Latihan Soal Turunan

Nama : Muhammad Hafidlul Qolbi

NIM : 220605110063

Kelas : C

Mata Kuliah : Kalkulus

Dosen Pengampuh : Prof. Dr. Suhartono, M.Kom

Jurusan : Teknik Informatika

Lembaga : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Latihan soal turunan!!

findiff <- function(f, x, h, method=NULL){
  if(is.null(method)){
    warning("please select a method")
  }else{
    if(method == "forward"){
      return((f(x+h)-f(x))/h)
    }else if(method=="backward"){
      return((f(x)-f(x-h))/h)
    }else if(method=="central"){
      return((f(x+h)-f(x-h))/(2*h))
    }else{
      warning("you can use method: forward, bacward, or central")
    }
  }
}

1. Jika ƒ(x) = 3 (x^8) − 5(x^6) + x*4 − x + 11, maka turunan dari f(x) di x = 3 adalah

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

findiff(function(x)
3*(x^8) + 5*(x^6) + x*4-x + 11, x=3, h=0.05,
  method="central")

## [1] 59889.84

2. y = 3x4 + 2x2 + x maka turunan dari f(x) di x = 4 adalah…..

findiff(function(x)
3*(x^4) + 2*(x^2) + x , x=4, h=0.05,
  method="central")

## [1] 785.12

3. y = x3 + 3x2 maka turunan dari f(x) di x = 3 adalah……

findiff(function(x)
3*x + 3*(x^2) + x , x=3, h=0.05,
  method="central")

## [1] 22

4. y = 3x4 + 2x2 + x maka turunan dari f(x) di x =1 adalah……

findiff(function(x)
3*(x^4) + 2*(x^2) + x , x=1, h=0.05,
  method="central")

## [1] 17.03

Sumber Referensi:

https://rstudio-pubs-static.s3.amazonaws.com/817659_0a6a882d74da454c9117279b65d95d77.html

https://bookdown.org/moh_rosidi2610/Metode_Numerik/diffinteg.html#diffother