Question

find the interval in which the function y=x^2.e^-x is increasing​

Answer 1

Answer:

Step-by-step explanation:

for increasing function

dy/dx>0

2xe^-x-x^2e^-x>0

2xe^-x(1-x)>0

it should satisfy all these

x>0

e^-x>0

1-x>0

e^-x>0

log on both sides

-x>1

x<-1

so conditions are x>0,x<1 and x<-1

there is no number that satisfies above

so interval is not defined