MAXIMA AND MINIMA

Relative Maxima and Minima

By Mathematics and Physics Department QC

Multiple Choice

Given the function: $$y\ =x^3+3x^2-2$$ . Find the y''.

• 6x+6

• 6x^2 +2

• 6x - 6

• 3x - 6

​CORRECT ANSWER

A

Multiple Choice

Given the function: $$y\ =x^3+3x^2-2$$ . Find the relative maxima.

• (0,2)

• (2,2)

• (-2,2)

• (-2,0)

​​CORRECT ANSWER

C

Multiple Choice

Given the function: $$y\ =x^2-4x$$ . Find the relative minima.

• (2,4)

• (2,-4)

• (4,-2)

• (-2,-4)

​​CORRECT ANSWER

B

Multiple Choice

Given the function: $$y\ =x^2-4x$$ . Find the point of inflection

• No point of Inflection

• (0,0)

• (1,2)

• (2,1)

​​CORRECT ANSWER

A