https://www.youtube.com/watch?v=3d6DsjIBzJ4

There's a video about Taylor Serie, I'd like you to watch, then write a short (3-4 sentence) paragraph explaining what you learned. thank you

Add the following lines- Let say, we want to approximate the function cosa in a polynomial series / taylor series) P = Cotcix+ (2xc2. coefficient Co controls the output of the function 'cost at 7=0 f ( x ) = cosx flo ) = coso = 1 how p (0) = Co+ 21 ( 0) + C2(0) = co an, we are writing cost =Co+ Cix+ (2x : f ( x ) = P ( x ) " - f (0 ) = p (o ) 1 = Co . coefficient ci denotes the first derivative of the function f' ( x ) = - sink P' ( x ) = C1 + 262x now , f'(o ) = p'(o) 0 = 6 1 + 2 ( 2 (0 ) . coefficient (2 is associated with the second derivative of the function f ( x ) = - cosx 1"( X ) = 262 : f " ( o ) = P" (0 ) = ) - 1 = 2 (2 so, we can write C2 = - 1/2 cosx = 1 -52 ( as an approximation about x(=0 )