z-m=4 then m-x=?
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Answers
Answer:
ANSWER
For every real number (or) valued function f(x), the values of
x which satisfies the equation f
1
(x)=0 are the point of
it's local and global maxima or minima.
This occus due to the fact that, at the point of
maxima or minima, the curve of the function has a
zero slope.
We have function f(x)=(
x
1
)
x
We will be using the equation,
y=(1/x)
x
Taking in both sides we get
ln y=−xlnx
Differentiating both sides with respect to x.
y.
dx
dy
=−lnx−1
dx
dy
=−y(lnx+1)
Equating
dx
dy
to 0, we get
−y(lnx+1)=0
Since y is an exponential function it can never be equal
to zero, hence
lnx+1=0
lnx=−1
x=e
−1
So, for the maximum value we put x=e
−1
in f(x) to
get the value of f(x) at the point.
f(e
−1
)=e
1/e
.
Hence the maximum value of the function is
e
1/e
.
∴ So, the answer is B.e
1/e
