Find the first three terms of the Taylor's series for sin(x^2) The constant term is 0 as usual. The first non-zero term is (include power of x as well as its coefficient): according to the book f(x)=f(0)+f'(0)x+f''(0)x^2/2!+f'''(0)x^3/3!... so I think the first non zero term is f'(0) = cos(x^2)2x but substituting x with 0, the term will be zero and there will always be an x in the expression if I keep differentiating. So how do I do it? THANKS!