Question
For what value of k will \(x+\frac{k}{x}\) have a relative maximum at x = −2?
(A) –4 (B) –2 (C) 2 (D) 4 (E) None of these
Answer/Explanation
Ans:D
Question
At what values of x does \(f(x)=3x^5+5x^3+15\) have a relative maximum?
(A) –1 only (B) 0 only (C) 1 only (D) –1 and 1 only (E) –1, 0 and 1
Answer/Explanation
Ans:A
Question
A polynomial p (x ) has a relative maximum at (−2, 4) , a relative minimum at ( 1,1 ), a relative maximum at ( 5,7) and no other critical points. How many zeros does p ( x) have?
(A) One (B) Two (C) Three (D) Four (E) Five
Answer/Explanation
Ans:B
Question
The derivative of f is \(x^{4}(x-2)(x+3)\) . At how many points will the graph of f have a relative maximum?
(A) None (B) One (C) Two (D) Three (E) Four
Answer/Explanation
Ans:B