What will be the answer for this question?

Asked by dineshchem108 | 9th Oct, 2019, 07:04: PM

Expert Answer:

Let f(x)=x4e-x2
f apostrophe left parenthesis x right parenthesis equals e to the power of negative x squared end exponent 4 x cubed plus x to the power of 4 e to the power of negative x squared end exponent left parenthesis negative 2 x right parenthesis equals 2 x cubed e to the power of negative x squared end exponent open parentheses 2 minus x squared close parentheses
T a k e space f apostrophe left parenthesis x right parenthesis equals 0
rightwards double arrow 2 x cubed e to the power of negative x squared end exponent open parentheses 2 minus x squared close parentheses equals 0
rightwards double arrow x cubed equals 0 space o r space 2 minus x squared equals 0
rightwards double arrow x equals 0 space o r space x squared equals 2
rightwards double arrow x equals 0 space o r space x equals plus-or-minus square root of 2
f

Answered by Renu Varma | 10th Oct, 2019, 11:44: AM