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Byju's Answer
Standard XII
Mathematics
Local Maxima
d dx 1/√x+a i...
Question
d
d
x
1
√
x
+
a
is equal to
A
−
1
2
(
x
+
a
)
3
/
2
.
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B
−
1
2
(
x
+
a
)
5
/
2
.
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C
−
3
2
(
x
+
a
)
3
/
2
.
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D
1
2
(
x
+
a
)
3
/
2
.
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Solution
The correct option is
A
−
1
2
(
x
+
a
)
3
/
2
.
Let
y
=
1
√
(
x
+
a
)
=
(
x
+
a
)
−
1
/
2
d
y
d
x
=
−
1
2
(
x
+
a
)
−
1
2
−
1
×
d
d
x
(
x
+
a
)
=
−
1
2
(
x
+
a
)
−
3
2
×
1
d
y
d
x
=
−
1
2
(
x
+
a
)
3
2
Suggest Corrections
0
Similar questions
Q.
Find the value of
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a
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+
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,
where 'a' satisfies the equation :
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If
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Q.
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Sr. No.
Form of Exponent
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Result
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×
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....................
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+
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=
a
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2)
2
5
÷
2
3
.....................
2
2
=
4
3)
....................
x
×
x
×
x
x
×
x
×
x
×
x
1
x
4)
(
2
)
3
÷
(
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2
)
3
(
−
2
)
×
(
−
2
)
×
(
−
2
)
(
−
2
)
×
(
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2
)
×
(
−
2
)
....................
5)
(
m
2
)
3
m
2
×
m
2
×
m
2
....................
6)
....................
2
x
×
2
x
×
2
x
2
3
×
x
3
7)
(
7
b
)
3
....................
7
3
b
3
Q.
(1) Match the following.
Column 'A'
Column 'B'
(1) a
3
× a
5
(a) a
5
(2) a
5
÷ a
3
(b)
1
a
5
(3) a
3
÷ a
5
(c) a
3
+5
(4) (a
3
)
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(d) a
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(5) a
5
÷ a
5
(e)
1
a
5
-
3
(f) a
3x5
(g) 1
(2) Write the values of the cube, the fourth power and the fifth power of each of the following numbers:
(i) 2
(ii) 3
(iii) 1
(iv) −1
(v) 10