MATLAB Week-3

MATLAB

Application of derivatives

Week: 3

syms x

% Declaring a symbolic variable

y =input('Enter the function f in terms of x:');

x1 =input('Enter x value at which tangent:');

ezplot(y,[x1-2,x1+2])

% Easy plotting

hold on

y_derivative= diff(y,x); %Diffrentiation in MATLAB

slope= subs(y_derivative, x,x1);

% Finding slope on that point

y1=subs(y,x,x1); % Finding the value of function at the given point

plot(x1,y1,'r:*')

tgt_line = slope*(x-x1)+y1 ; %Tangent line equation at the given point

h=ezplot(tgt_line, [x1-2,x1+2]); %Plotting the tangent line

set (h, 'color','r')

hold off

Question 1) y=4-x^2, (-1,3)

Question 2) y=2*x^0.5, (1,2)

Question 3) y=x**3, (-2,-8)