Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.



A. ; relative minimum value: 
B. ; saddle point: 
C. ; relative maximum value: 
D. there are no critical points


Answer: A

Mathematics

You might also like to view...

Find the equation in standard form of the parabola described.The focus has coordinates (2, 0), and the equation of the directrix is x = -2.

A. y2 = 8x B. y2 = 2x C. x2 = 8y D. y2 = -8x

Mathematics

Find the LCD.

A. (x - 6)(x - 1) B. (x + 4)(x + 6)(x - 1) C. (x - 4)(x - 6)(x - 1) D. (x - 4)(x - 6)

Mathematics

Identify the exponent and the base in the expression. Do not evaluate.(-8.4)2

A. Exponent: 2; base: 8.4 B. Exponent: -8.4; base: 2 C. Exponent: 8.4; base: 2 D. Exponent: 2; base: -8.4

Mathematics

Solve the problem.A die is weighted so that an even-numbered face is three times as likely to occur as an odd-numbered face. What probability should be assigned to each face?

What will be an ideal response?

Mathematics