find the maximum between -1 and 1 f0r the function (e^x)-x-1

Question

find the maximum between -1 and 1 f0r the function  (e^x)-x-1

mathmale · Answer

Word to the wise:  Be certain to indicate that you mean x=-1 and x=1.

The most sophisticated way in which to locate any min or max of a function is to take the derivative of the function and set it = to 0.  Do that, please, with the given function.  Solve the resulting derivative for x.  There's more to it than this, but this hint should help you get started.

mathmale · Answer

Notice that just because the problem requests "the maximum," you don't necessarily have a relative max.  You may have an abs. max.on the given interval.    What would that mean?

anonymous · Answer

Find the absolute maximum and absolute minimum values of f(x) =e^x-x-1 on the interval [-1, 0]

mathmale · Answer

Aha!  It makes a huge difference sometimes if you do or do not include ALL of the instructions that come with a problem.

First, with f(x)=e^x - x -1, find the derivative f '(x).

f '(x) = ?

Set that = to 0.

Solve for x.

Does tis appear to be a max or a min?  an abs max or an abs min?  Why?

mathmale · Answer

In other words, does it appear that you have a max or a min at that x value?

anonymous · Answer

he said to check the mix we have tow value e^-1 ---->=.5and e^-2--->=0.1
the the maximum will be 0.5

anonymous · Answer

i mean my teacher  said that