Question

6. The following is a graph of f(a). Circle your answer and explain. (6 points) The first derivative f'(x) is: Positive Negative Explain. Zero The second derivative f"(x) is: Positive Negative Explain. Zero

Answer 1

Aus- The first derivative of fire) is positive. Explanation ! We can see from plot that as we increase is value of fix increase so f' 2f(x) > 0 ie it on so then ofin) so so fin) to hence positive, AN derivative flow is negative: The second Explasin. m2 (02, feme? for Tor, flow) We can see at ne flows = m, a fiu) at na fron) ma a f'1062) The second derivative thing is derivative of first derdratine le dfing a few til stal) x x An m-xi 70 Here but m₂m, so 2 ma-m, co so second denirative is negative so m₂-mi 40 26 - 1