Suppose f(x) = $x ^ { 4 }$ - 7 $x ^ { 3 }$ + 2. The fifth Taylor polynomial of f(x) at x = 1 is $\mathrm { P } 5 ( \mathrm { x } ) = x ^ { 5 } + x ^ { 4 } - 7 x ^ { 3 } + 2$ .

Question

Quizplus · Accepted Answer

The fifth Taylor polynomial of a function at a point involves the function's derivatives up to the fifth order, evaluated at that point, and does not simply extend the function's formula by increasing the power of x. The given polynomial does not correctly represent the process of calculating a Taylor polynomial, which involves derivatives and factorial coefficients.

Suppose F(x) = x4x ^ { 4 }x4 - 7 x3x ^ { 3 }x3

Suppose F(x) = $x ^ { 4 }$ - 7 $x ^ { 3 }$