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solve the inequality ln(e^1-x^2 *x^2)>0

solve the inequality
ln(e^1-x^2 *x^2)>0

Grade:upto college level

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
8 years ago
x^2*e^(1-x^2)>1

f'(x)=0 , 2x*e^(1-x^2)-2x^3e^(1-x^2)= 2x*e^(1-x^2)(1-x^2)=0, gives x=0, x=1, x=-1
f(0)=0
f(1)=1
f(-1)=1
f'(x)<0 for x between (-inf,-1)U(1,inf )
imply f(1)=f(-1) =1 is maximum, hence the inequality doest not have any solution.

sher mohammad
b.tech, iit dlehi

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