Tango

get_tangent(f,x_0,ϵ=1e-7)

Returns a function that represents the tangent line to the function f at x_0.

numderiv(f,x::Float64,ϵ=1e-7::Float64)

Compute the numerical derivative of a function f at x using a step size ϵ. The default value of ϵ is 1e-7.

''f'(x) = \frac{f(x_0+\epsilon)-f(x)}{\epsilon}''

Examples

```julia-repl

julia> f(x) = x^2

julia> numderiv(f,2.0)

4.000000330961484

plot_tangent(f,x_0,ϵ=1e-7)

Plots the function f and its tangent line at x_0.