Mathematical Methods — Question 2
QCAA 2022, Paper 2 · 1 mark
Q2 · 2022 · Technology-activeSimple familiar1 mark
QUESTION 2
Identify the correct features of the function f(x)=xex. (A)f′(−1)=0,f′′(−1)<0 (B)f′(−1)=0,f′′(−1)>0 (C)f′(−1)<0,f′′(−1)<0 (D)f′(−1)<0,f′′(−1)>0 WORKED SOLUTION
Answer B
1 markANSWERB — f′(−1)=0,f′′(−1)>0 Worked solution
f′(x)=ex(x+1), so f′(−1)=0. Also f′′(x)=ex(x+2), so f′′(−1)>0; B. Worked explanation by QCE Vault; correct option verified against the QCAA answer key.
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