Discussion 13: APEX Calculus Version - Chapter 4 Exercises 17 -(Page 194)

Problem 17 Chapter 4 (Page 194)

Compute the differential dy of y = \(x^2\) + 3x − 5

# Given function
y <- function(x) {
  return(x^2 + 3*x - 5)
}


# First derivative of the function
dy_dx <- function(x) {
  return(2*x + 3)
}

# Illustrate with x =2
x <- 2

# Compute the differential dy using the derivative at the chosen x value
dy_value <- dy_dx(x)

# Print the result
cat("dy =", dy_value, "\n")

## dy = 7