Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.f'(x) = (3 - x)(7 - x)

A. Decreasing on (-?, 3); increasing on (7, ?)
B. Decreasing on (-?, 3) ? (7, ?); increasing on (3, 7)
C. Decreasing on (-?, -3) ? (-7, ?); increasing on (-3, -7)
D. Decreasing on (3, 7); increasing on (-?, 3) ? (7, ?)


Answer: D

Mathematics

You might also like to view...

Find the extreme values of the function subject to the given constraint.  

A. Maximum: 4 at    minimum: -4 at  
B. Maximum: 4 at    minimum: -4 at  
C. Maximum: 18 at    minimum: -18 at  
D. Maximum: 18 at    minimum: -18 at  

Mathematics

Triangle ABC is a right triangle with sides of lengths a, b, and c and a right angle at C. Find the indicated trigonometric function value of A. Rationalize denominators containing radicals.a = 9, b = 7; find sin A.

A.
B.
C.
D.

Mathematics

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) ? 

A.
B.
C.
D.
E.

Mathematics

Find the zeros of the function.f(x) = x2 + 6x - 27

A. -9, 3 B. 9, 3 C. 9, -3 D. -9, 1

Mathematics