For the function
the value of
and
are as follows:

Further explanation:
In the question it is given that the function is
. The term radical represents the square root symbol
.
The function is expressed as follows:

The above function is also represented as follows:

It is given that the value of
is
and the value of
is
.
Consider that for small change in the value of
as
there occur a small change in
as
.
The change in the dependent variable
is expressed as follows:

The change in the dependent variable
with respect to change in independent variable is expressed as follows:

Substitute
and
in the above equation.

Rationalize the above expression by multiplying and dividing the term
.

Substitute
for
and
for
in the above equation.

Rationalize the above expression to obtain the value of
.

Therefore, the value of
is
.
For an infinitesimally small change in
i.e., as
then the equation (1) is expressed as follows:

Substitute
and
in the above equation.

Rationalize the above expression as follows:

Substitute
for
and
for
in the above equation.

Therefore, the value of
is
.
Thus, for the function
the value of
and
are as follows:

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Answer details:
Grade: Senior school
Subject: Mathematics
Chapter: Curve sketching
Keywords: Curve, graph, radical, quadratic, expression, roots, y=rootx, delta y, dy, derivative, dx, delta x, round off, decmials, decimal places, rationalize.