Find the local exterma and find the intervals on which the function is increasing and the intervals where it is decreasing.

f(x) = e^(-0.5x)
I found the derivative to be -0.5e^(-.5x).. and I set that equal to 0 right? Then what?

Question

Find the local exterma and find the intervals on which the function is increasing and the intervals where it is decreasing.

f(x) = e^(-0.5x)
I found the derivative to be -0.5e^(-.5x).. and I set that equal to 0 right? Then what?

anonymous · Answer

the derivative is never zero .. also it is defined everywhere .. so either the function is always increasing or decreasing .. to check you plug any value you want into the derivative ..

lets choose 0 and we get -0.5 it means that the function is always decreasing ..