plot_tangent_plane: Plot the function f(x, y) and the tangent plane of f(x, y) at...

In jtipton25/dasc2594: Package for DASC 2594 Multivariable Math for Data Science

Plot the function f(x, y) and the tangent plane of f(x, y) at a point (a, b)

Description

Plot the function f(x, y) and the tangent plane of f(x, y) at a point (a, b)

Usage

plot_tangent_plane(
  target_fun,
  grad_fun,
  a = 3,
  b = 2,
  n = 50,
  xlim = c(-4, 4),
  ylim = c(-4, 4)
)

Arguments

target_fun	The function f(x, y) of interest.
grad_fun	The gradient (d/dx f(x,y), d/dy f(x,y)) of the function f(x, y).
a	The point at which to evaluate the tangent plane in the x-axis coordinates.
b	The point at which to evaluate the tangent plane in the y-axis coordinates.
n	The number of grid points at which to evaluate the function f(x, y) and the tangent plane of f(x, y)
xlim	The range of points in the x-axis at which to evaluate the function f(x, y) and the tangent plane of f(x, y)
ylim	The range of points in the y-axis at which to evaluate the function f(x, y) and the tangent plane of f(x, y)

Value

A plotly plot of the function of interest and the

Examples

target_fun <- function(x, y) {
    return(x^2 + y^2)
}
  grad_fun <- function(x, y) {
    c(2 * x, 2 * y)
}
plot_tangent_plane(target_fun = target_fun, grad_fun = grad_fun, a=-1, b = 1)

jtipton25/dasc2594 documentation built on Oct. 7, 2022, 3:46 p.m.