MATLAB: How can i derive sin(x)

derivativedifferentiationimplicit derivationsinx

hello there I have problem with derivation of sin(x)

syms x
diff(sin(x))
ans
cos(x)

but I want the answer to be xdot*cos(x), can you tell me how can i do it? ,please

syms x(t)
diff(sin(x))

tanxx = @(x)  tan(x)-x;
for a = -1:1
    xs = fzero(tanxx, a)
end

With that series, you need to sum starting from 0, not 1:

 for i = 0:n
   y(i+1) = (-1)^i*x^(2*i+1)/factorial(2*i+1); 
 end

Notice that I offset your indexing into the y variable, so that the i=0 term is the first one in the vector.