Thursday

January 29, 2015

January 29, 2015

Posted by **Jessica** on Tuesday, March 6, 2012 at 2:11pm.

2. Determine the minimum value of the function f(x)= e^(-x) - 2e^x on the interval -1≤x≤2.

- Calculus -
**Steve**, Tuesday, March 6, 2012 at 2:54pmyou know that any local min/max must occur where f' = 0.

f' = ln5 * 5^x - 4x^2

That occurs at about x=-.5 and 1.24

So, check f(x) at the endpoints of the interval, and at those two values.

Looks to me like max is at x=1.24, min at x=2

Treat the other similarly.

**Answer this Question**

**Related Questions**

Calculus - 2. Determine the minimum value of the function f(x)= e^(-x) - 2e^x on...

Grade 12 Calculus - Determine the absolute extrema of each function on the ...

Grade 12 Calculus - Determine the absolute extrema of each function on the ...

Grade 12 Calculus - Determine the absolute extrema of each function on the ...

Grade 12 Calculus - Determine the absolute extrema of each function on the ...

New Age Math - Suppose that y≤5x,3x≤y and 14x+15y≤1 together ...

Calculus - If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the...

Math - Suppose that y≤3x, 2x≤y and 13x+13...

Calculus - If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is ...

Grade 12 Calculus - Determine the maximum and minimum of each function on the ...