trabajomatefuncionesdeluciarodr

2025-09-28

Slide with Bullets

Slide with R Output


library(shiny)

ui <- fluidPage(
  titlePanel("Variación de funciones polinómicas - Rectas"),
  sidebarLayout(
    sidebarPanel(
      sliderInput("m", "Pendiente (m):", min = -5, max = 5, value = 1),
      sliderInput("b", "Ordenada en el origen (b):", min = -10, max = 10, value = 0)
    ),
    mainPanel(
      plotOutput("rectaPlot")
    )
  )
)

server <- function(input, output) {
  output$rectaPlot <- renderPlot({
    x <- seq(-10, 10, length.out = 200)
    y <- input$m * x + input$b
    plot(x, y, type = "l", col = "blue", lwd = 2,
         main = "Recta: y = mx + b", xlab = "x", ylab = "y")
    abline(h = 0, v = 0, col = "green", lty = 2)
    grid()
  })
}

shinyApp(ui = ui, server = server)






Slide with Plot

library(shiny)

ui <- fluidPage(
  titlePanel("Variación de funciones polinómicas - Parábolas"),
  sidebarLayout(
    sidebarPanel(
      sliderInput("a", "Coeficiente cuadrático (a):", min = -5, max = 5, value = 1),
      sliderInput("b", "Coeficiente lineal (b):", min = -10, max = 10, value = 0),
      sliderInput("c", "Término independiente (c):", min = -10, max = 10, value = 0)
    ),
    mainPanel(
      plotOutput("parabolaPlot")
    )
  )
)

server <- function(input, output) {
  output$parabolaPlot <- renderPlot({
    x <- seq(-10, 10, length.out = 200)
    y <- input$a * x^2 + input$b * x + input$c
    plot(x, y, type = "l", col = "purple", lwd = 2,
         main = "Parábola: y = ax² + bx + c", xlab = "x", ylab = "y")
    abline(h = 0, v = 0, col = "green", lty = 2)
    grid()
  })
}

shinyApp(ui = ui, server = server)



Slide with Plot

library(shiny)

ui <- fluidPage(
  titlePanel("Variación de funciones polinómicas - Grado 3 y 4"),
  tabsetPanel(
    tabPanel("Polinomio grado 3",
      sidebarLayout(
        sidebarPanel(
          sliderInput("a3", "Coeficiente x³ (a):", min = -2, max = 2, value = 1, step = 0.05),
          sliderInput("b3", "Coeficiente x² (b):", min = -5, max = 5, value = 0),
          sliderInput("c3", "Coeficiente x (c):", min = -5, max = 5, value = 0),
          sliderInput("d3", "Constante (d):", min = -5, max = 5, value = 0)
        ),
        mainPanel(
          plotOutput("cubicoPlot")
        )
      )
    ),
    tabPanel("Polinomio grado 4",
      sidebarLayout(
        sidebarPanel(
          sliderInput("a4", "Coeficiente x⁴ (a):", min = -1, max = 1, value = 1, step = 0.01),
          sliderInput("b4", "Coeficiente x³ (b):", min = -2, max = 2, value = 0),
          sliderInput("c4", "Coeficiente x² (c):", min = -5, max = 5, value = 0),
          sliderInput("d4", "Coeficiente x (d):", min = -5, max = 5, value = 0),
          sliderInput("e4", "Constante (e):", min = -5, max = 5, value = 0)
        ),
        mainPanel(
          plotOutput("cuarticoPlot")
        )
      )
    )
  )
)

server <- function(input, output) {
  
  output$cubicoPlot <- renderPlot({
    x <- seq(-10, 10, length.out = 200)
    y <- input$a3 * x^3 + input$b3 * x^2 + input$c3 * x + input$d3
    plot(x, y, type = "l", col = "green", lwd = 2,
         main = "Polinomio grado 3: y = ax³ + bx² + cx + d",
         xlab = "x", ylab = "y")
    abline(h = 0, v = 0, col = "green", lty = 2)
    grid()
  })
  
  output$cuarticoPlot <- renderPlot({
    x <- seq(-10, 10, length.out = 200)
    y <- input$a4 * x^4 + input$b4 * x^3 + input$c4 * x^2 + input$d4 * x + input$e4
    plot(x, y, type = "l", col = "red", lwd = 2,
         main = "Polinomio grado 4: y = ax⁴ + bx³ + cx² + dx + e",
         xlab = "x", ylab = "y")
    abline(h = 0, v = 0, col = "green", lty = 2)
    grid()
  })
  
}

shinyApp(ui = ui, server = server)