# AP Calc

posted by .

If y=2x-2 , what is the minimum value of the product xy?
A. -16 B. -8 C. -4 D. 0 E. 2

• AP Calc -

z = xy = 2(x^2-x)
dz/dx = 0 at min = 2(2x-1)
x = 1/2
y = -1
xy = -1/2

## Similar Questions

1. ### math

Determine whether this function has a mzximum or minimum value and then find that value: f(x)=2x^2 + 3x -9 The derivative, f'(x) = 4x +3, is zero when x = -3/4 . That means there is a relative extreme value (either maximum or minimum) …
2. ### calc

let y=2x-8. What is the minimum value of the product xy?
3. ### Calc

Find a cubic function, in the form below, that has a local maximum value of 3 at -2 and a local minimum value of 0 at 1. f (x) = ax3 + bx2 + cx + d
4. ### pre calc

use an appropriate half-angle formula to find the exact value ofthe expression. tan22.5 write the product as a sum sinxsin5x write the sum as a product sin2x-sin7x
5. ### AP CALC. AB

2. A cubic function is a polynomial of degree 3 and has the form y=mx^3+bx^2+cx+d; m≠0. What is the maximum quantity of local extreme values a given cubic function can have?
6. ### AP Calc

For the curve f(x)=x ln x+(1-x)ln(1-x), find the value of x in the interval 0<x<1 where f(x) has a minimum.
7. ### ap calc

For the curve f(x)=xln(x)+ (1-x)ln(1-x), find the value of x in the interval 0<x<1 where f(x) has a minimum. Please help I have no idea how to solve.
8. ### Algebra1

y=x^2+4x+11 can be written as y=(x+2)^2+7 by completing the square.Written this way one can that the function has a ____. A.) minimum value of 7 B.) minimum value of -2 C.) minimum value of -2 D.) maximum value of 7
9. ### math

Maximum or minimum values of the function f(x) = (1 – x)^2 e^x is: i need solution (a) Minimum value at x = –1; maximum value x = 1 (b) Minimum value at x = 1; maximum value x = –2 (c) Minimum value at x = 1; maximum value x …
10. ### MATH HELP

The cost to produce a product is modeled by the function f(x) = 5x^2 − 70x + 258 where x is the number of products produced. Complete the square to determine the minimum cost of producing this product. 5(x − 7)^2 + 13; …

More Similar Questions