Question ======== What is the derivative of $f(x) = x^{7} e^{0.2 x}$, evaluated at $x = 0.9$? Answerlist ---------- * $5.03$ * $6.08$ * $4.57$ * $6.62$ * $4.45$ Solution ======== Using the product rule we obtain $$ f'(x) = e^{0.2 x} \cdot (7 \cdot x^6 + 0.2 x^7). $$ Evaluated at $x = 0.9$ and rounded to two digits the answer is $f'(0.9) = 4.568278 = 4.57$. Answerlist ---------- * False * False * True * False * False Meta-information ================ extype: schoice exsolution: 00100 exname: exp derivative