Asked by Mia
find the critical no's/ points in
(X^-2)(lnx)
(X^-2)(lnx)
Answers
Answered by
Reiny
let y = (x^-2)lnx
dy/dx = lnx(-2x^-3) + x^-2(1/x)
= -2lnx/x^3 + 1/x^3 = 0 for max/min of y
multiply by x^3
2lnx = 1
lnx = 1/2
x = e^(1/2) or √e
then y = ln(√e)/e = 1/(2e)
critical point is (√e, 1/(2e))
dy/dx = lnx(-2x^-3) + x^-2(1/x)
= -2lnx/x^3 + 1/x^3 = 0 for max/min of y
multiply by x^3
2lnx = 1
lnx = 1/2
x = e^(1/2) or √e
then y = ln(√e)/e = 1/(2e)
critical point is (√e, 1/(2e))
Answered by
Mia
hey thnxx but web assign is not accepting this ans, i dunno why it says that its wrong.
Answered by
Reiny
try e^(1/2) instead of √e or find the decimals
the above point in rounded decimals is
(1.6487, .1839)
the above point in rounded decimals is
(1.6487, .1839)
Answered by
Mia
its wrong again :(
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