Question

Find the absolute maximum and the absolute minimum of the function f(x) = xe –x on [ -10 , 10]. Show all working.

Answer 1

So take the derivative to find the local mins and maxes, since the derivative there will be 0. Then you also need to check to boundaries in case your absolute max and min aren't local max or mins.

Answer 2

Find where the derivative is either zero OR undefined, then take those values along with -10 and 10 since they are your boundaries and plug all those values into the original f(x) and pick the highest and lowest values for your min and max

Answer 3

f ' (x) = -xe^-x

Answer 4

Use the product rule to find the derivative.

Answer 5

f(x) = xe^(-x)
f'(x) = x { e^(-x) }' + (x)'e^(-x) = ?

Answer 6

still don't understand

Answer 7

deriv of xe^-x = -xe^-x ???