Question

Show that the function f (x)=(x-1)e^x+1 is an increasing function

Answer 1

Answer:

Step-by-step explanation:

f (x)=(x-1)e^x+e^x             {product rule}

=xe^x

=e^x is >0 all x E r

and x >0 because it is given

its product will be >0 so

f (x) >0 for all x>0

so f (x) is an increasing function