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

What will be an ideal response?


Yes. The value of f 'at x = -c must also be zero since even functions are symmetrical with respect to the y-axis.

Mathematics

You might also like to view...

The following question refers to a school district with three high schools. The total number of students in the district is 3000. The teachers within the district are apportioned to the high schools based on the schools' respective enrollments. The standard quota for each school is given in the following table. How many students are enrolled in Central High?

A. 1500 B. 1450 C. 1550 D. 1400 E. none of these

Mathematics

Choose the most reasonable unit of measure.A button: 16  (mg, g, or kg)

A. kg B. mg C. g

Mathematics

Find any values of the variable that make the expression undefined.

A. -2 B. 2, -2 C. 0 D. None

Mathematics

If a firm that has fixed costs in its operations does not meet its forecasted sales level, its operating leverage will result in a magnified decrease in net income compared to what is expected.

Answer the following statement true (T) or false (F)

Mathematics