The second order Maclaurin polynomial of a differentiable function f(x) is T 2 ( x ) = f ( 0 ) + f ′ ( 0 ) x + f ″ ( x ) 2 ! x 2 {\displaystyle T_{2}(x)=f(0)+f'(0)x+{\frac {f''(x)}{2!}}x^{2}} .
