Differentiation help?

Question

A=((pi + 4)x^2 - 2560x + 409600)/pi)
Hence find the values of x for which A is minimum and maximum

 

 

Answer 1

The function is .

Apply first derivative with respect to x.

Apply second derivative with respect to x.

To find the critical numbers .

.

If f " (c) > 0 (positive) ------> minimum point.

If f " (c) < 0 (negative) ------> maximum point.