QUESTION 12 (ALL PARTS) AND THEN 13
Posted: Thu Jul 14, 2022 4:09 pm
QUESTION 12 (ALL PARTS) AND THEN 13
12. Given the function f is defined by f(x)=x−1x2+3x (1) What is the domain of f ? (1 point) (2) Find f′(x); simplify completely. ( 4 points) (3) Find all critical numbers of f. (3 points)
(4) For −4≤x≤0, find the x value(s) for any absolute max and/ or min on f(x). Justify in table format as demonstrated in class (4 points) Absolute Max occurs when x= Absolute Min occurs when x= 5 points) 13. For ∣x∣>3, find the derivative of p(x)=ln∣∣x∙x2−9∣∣. Simplify your answer completely.
12. Given the function f is defined by f(x)=x−1x2+3x (1) What is the domain of f ? (1 point) (2) Find f′(x); simplify completely. ( 4 points) (3) Find all critical numbers of f. (3 points)
(4) For −4≤x≤0, find the x value(s) for any absolute max and/ or min on f(x). Justify in table format as demonstrated in class (4 points) Absolute Max occurs when x= Absolute Min occurs when x= 5 points) 13. For ∣x∣>3, find the derivative of p(x)=ln∣∣x∙x2−9∣∣. Simplify your answer completely.