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

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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = xln x

A.
B. 2xln x - 1ln x
C.  2
D. xln x - 1ln x

Mathematics

Solve the problem.The Montgomerys borrowed $86,000 at 7.50% for 30 years to purchase a house. Find the total interest the Montomerys will pay if they pay the loan on schedule.

A. $142,794.40 B. $135,673.60 C. $130,410.40 D. $119,884.00

Mathematics

Simplify. -  -  - 

A. 1
B. 27
C.
D.

Mathematics

Give the center and radius of the circle. Then sketch its graph.(x + 1)2 + (y - 2)2 = 9

A. center (1, 2), r = 3

B. center (- 1, 2), r = 3

C. center (1, - 2), r = 3

D. center (- 1, - 2), r = 3

Mathematics