(2026) | Verified Answers | A+
• vertical asymptote. CORRECT ANSWER: simplify, then set denominator equal to zero
• how to find critical numbers. CORRECT ANSWER: first derivative
• how to find increasing/decreasing intervals. CORRECT ANSWER: first derivative
• how to find relative extrema. CORRECT ANSWER: first derivative
• how to find inflection points. CORRECT ANSWER: second derivative
• how to find concave up/concave down. CORRECT ANSWER: second derivative
• how to find point of diminishing returns. CORRECT ANSWER: second derivative,
concave up to concave down
• how to find absolute extrema. CORRECT ANSWER: end points or critical numbers,
plug into original function
• optimization. CORRECT ANSWER: take the derivative, set it equal to 0
• second derivative test. CORRECT ANSWER: if f'(c) = 0 and f''(c) > 0 then minimum; if
f'(c) = 0 and f''(c) < 0 then maximum; if f'(c)= 0 and f"(c)= 0 then inconclusive
• exponential functions go through the point.... CORRECT ANSWER: (0,1)
• ln(a^x)=. CORRECT ANSWER: xlna
• lne=. CORRECT ANSWER: 1
• all logs go through the point.... CORRECT ANSWER: (1,0)
• domain of logs. CORRECT ANSWER: whatever is inside the log must be positive
• ln1=. CORRECT ANSWER: 0
• loga(b)=c. CORRECT ANSWER: a^c=b
• compound interest formula. CORRECT ANSWER: A=P(1+r/m)^mt
• continuous interest formula. CORRECT ANSWER: A=Pe^rt
• continuous interest, present value. CORRECT ANSWER: P=Ae^-rt