- -
Solved Examples
Click on a 'View Solution' below for other questions:
cc  Find the interval in which f (x) = xe9x is concave upward.
  cc
View Solution
cc  Find the interval in which f(x) = 8x(ln 9x) is concave upward.
  cc
View Solution
cc  What is the interval in which f(x) = (ln(4x))(x) is concave upward ?
  cc
View Solution
cc  What is the interval in which f (x) = 2x3 + 18x2 + 6x + 30 is concave downward?
  cc
View Solution
cc  Find the interval in which f (x) = 2x - 12x is concave downward.  cc View Solution
cc  Find the interval in which f (x) = e- 7x is concave downward.  cc View Solution
cc  In (0, π2), f (x) = 8x cos x + 48 is  cc View Solution
cc  Find the largest interval in which f (x) = 30x4 + 6x2 + 41 is concave upward.  cc View Solution
cc  For the function f (x) = 3ax2 + 2bx + 33 where a ≠ 0, which of the following is true?  cc View Solution
cc  What is the interval in which f(x) = x - 3x - 2 is concave downward ?
  cc
View Solution
cc  What is the interval in which f (x) = sin2 6x is concave upward?
  cc
View Solution
cc  What is the interval in which f (x) = tan 4x is concave upward?
  cc
View Solution
cc  What is the interval in which f (x) = e7x - e- 7 x is concave downward?  cc View Solution
cc  What is the interval in which f (x) = e4x sin 4x is concave downward?  cc View Solution
cc  Find the interval in which f(x) = x22 + ln 5x is concave downward.  cc View Solution
cc  Find the interval in which f(x) = 7x 2 ln 6x is concave downward.
  cc
View Solution
cc  Find the interval in which f(x) = sin 18x is concave upward.  cc View Solution
cc  Find the interval in which f (x) = (ln 7x) 2 is concave downward.
  cc
View Solution
cc  What is the interval in which f(x) = x(ln 9x)2 is concave downward?  cc View Solution
cc  Find the point of inflection of f(x) = x3 - 12x2 + 195.  cc View Solution
cc  Determine the point of inflection of the graph of f(x) = 11x e17x.
  cc
View Solution
cc  f(x) = 4x in (0, ∞) has  cc View Solution
cc  Find the minimum possible perimeter of a rectangle of area 900 m2.
  cc
View Solution
cc  The sum of two positive numbers is 80. Find the smallest possible value of the sum of their squares.
  cc
View Solution
cc  The sum of two positive numbers is 4. Find the minimum possible value of the sum of the cubes of these numbers.
  cc
View Solution
cc  What is the maximum possible area of a rectangle of perimeter 12 m?  cc View Solution
cc  x, y are two positive numbers whose sum is 7. What is the possible greatest value of x2 y?
  cc
View Solution
cc  Find the minimum possible perimeter of a rectangle of area 1600 m2.
  cc
View Solution
cc  Find the interval in which f(x) = 5x(ln 6x) is concave upward.
  cc
View Solution
cc  What is the interval in which f(x) = (ln(7x))(x) is concave upward ?
  cc
View Solution
cc  What is the interval in which f (x) = 3x3 + 45x2 + 12x + 38 is concave downward?
  cc
View Solution
cc  Find the interval in which f (x) = 8x - 22x is concave downward.  cc View Solution
cc  Find the interval in which f (x) = e- 3x is concave downward.  cc View Solution
cc  In (0, π2), f (x) = 4x cos x + 46 is  cc View Solution
DDD Find the largest interval in which f (x) = 4x4 + 2x2 + 28 is concave upward. DDD View Solution
DDD What is the interval in which f(x) = x - 8x - 7 is concave downward ?
 DDD
View Solution
DDD Find the interval in which f (x) = xe5x is concave upward.
 DDD
View Solution
DDD What is the interval in which f (x) = sin2 4x is concave upward?
 DDD
View Solution
DDD For the function f (x) = 8ax2 + 5bx + 31 where a ≠ 0, which of the following is true? DDD View Solution
DDD What is the interval in which f (x) = tan 5x is concave upward?
 DDD
View Solution
DDD What is the interval in which f (x) = e6x - e- 6 x is concave downward? DDD View Solution
DDD What is the interval in which f (x) = e7x sin 7x is concave downward? DDD View Solution
DDD Find the interval in which f(x) = x22 + ln 8x is concave downward. DDD View Solution
DDD Find the interval in which f(x) = 5x 2 ln 4x is concave downward.
 DDD
View Solution
DDD Find the interval in which f(x) = sin 4x is concave upward. DDD View Solution
DDD Find the interval in which f (x) = (ln 3x) 2 is concave downward.
 DDD
View Solution
DDD What is the interval in which f(x) = x(ln 5x)2 is concave downward? DDD View Solution
DDD What is the maximum possible area of a rectangle of perimeter 16 m? DDD View Solution
DDD The sum of two positive numbers is 40. Find the smallest possible value of the sum of their squares.
 DDD
View Solution
DDD The sum of two positive numbers is 14. Find the minimum possible value of the sum of the cubes of these numbers.
 DDD
View Solution
DDD x, y are two positive numbers whose sum is 10. What is the possible greatest value of x2 y?
 DDD
View Solution
DDD Find the point of inflection of f(x) = x3 - 6x2 + 28. DDD View Solution
DDD Determine the point of inflection of the graph of f(x) = 7x e13x.
 DDD
View Solution
DDD If f(x) = ax2 + bx + c, a ≠ 0, then which of the following is correct?
 DDD
View Solution
DDD f(x) = 9x in (0, ∞) has DDD View Solution
DDD For a real function y = f(x), which of the following holds true? DDD View Solution