How to find the tangent point of a fit curve that passes through a non tangent point?

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Hi everyone,
I have curve that fit to data read from .xlsx file. How can I determine the tangent line as the picture below?
The number of the points is 100, so please see the xslx attached file.
Thank you.
My code:
clc
clear all
close all
filepath='c:\point for spline.xlsx';
data=xlsread(filepath,1,'a1:b99')
A_coor=data(1,:)
% --- CURVE FITTING --- %
f=fit(data(:,1),data(:,2),'pchip')
% --- PLOT THE CURVE AND POINT A --- %
plot(data(:,1),data(:,2),A_coor(1),A_coor(2),'ro')

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