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Let’s check out your problem:
Evaluate the expression
7
2
x
2
−
2
\frac{7^{2}}{x^{2}-2}
x
2
−
2
7
2
for
x
=
3
x=3
x
=
3
.
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Math Problems
Calculus
Find derivatives using the chain rule I
Full solution
Q.
Evaluate the expression
7
2
x
2
−
2
\frac{7^{2}}{x^{2}-2}
x
2
−
2
7
2
for
x
=
3
x=3
x
=
3
.
Substitute value of x:
First, substitute the value of
x
x
x
into the expression. Replace
x
x
x
with
3
3
3
in the expression
7
2
x
2
−
2
\frac{7^{2}}{x^{2}-2}
x
2
−
2
7
2
to get
7
2
3
2
−
2
\frac{7^{2}}{3^{2}-2}
3
2
−
2
7
2
.
Calculate numerator exponent:
Calculate the exponent in the numerator. The value of
7
2
7^{2}
7
2
is
49
49
49
.
Calculate denominator exponent:
Calculate the exponent in the denominator and then subtract
2
2
2
. The value of
3
2
3^{2}
3
2
is
9
9
9
, so
9
−
2
9 - 2
9
−
2
equals
7
7
7
.
Divide numerator by denominator:
Now, divide the numerator by the denominator. Divide
49
49
49
by
7
7
7
to get the final value of the expression.
Final value of the expression:
The final value of the expression is
49
7
\frac{49}{7}
7
49
, which equals
7
7
7
.
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