What cubic Taylor Polynomial best approximates $\displaystyle x^4 + 2x^3 +3x - 3$ near x = 2

take the derivative three times, plug in the value 2 for x in each derivative, divide that by i! ...

$\displaystyle P_3(x) = 35 + 59(x - 2) + 36(x - 2)^2 + 10(x - 2)^3$

Am I correct?