Provide an appropriate response.If the derivative of an odd function g(x) is zero at x = c, can anything be said about the value of g' at  Give reasons for you answer.

What will be an ideal response?


Yes. The value of g' at x = -c is also zero since odd functions are symmetric with respect to the origin.

Mathematics

You might also like to view...

Simplify.(-7)2 + (-4)2 - 6

A. -59 B. 59 C. -115 D. 115

Mathematics

Solve the problem. Round amounts to the nearest tenth if necessary.Suppose that z varies jointly with x and y and that z = 1080 when x = 9 and  Find the constant of variation k. Then use z = kxy to find z when x = 3 and 

A. k = 155,520; z = 5184 B. k = 7.8; z = 234 C. k = 7.3; z = 219 D. k = 7.5; z = 225

Mathematics

Solve the problem.A rectangle has a length of x + 3 and a width of x - 3, and has an area of 40 square units. Find the length and width of the rectangle. (A = LW)

A. width = 5 units; length = 8 units B. width = 4 units; length = 10 units C. width = 2 units; length = 20 units D. width = 1 unit; length = 40 units

Mathematics

Solve the problem.The decay of 192 mg of a radioactive substance is given by A(t) = 192e-0.015t, where t is time in years. Find the amount left after 40 years.

A. 105  B. 53  C. 104 D. 189 

Mathematics