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UPSC CDS Math Basic operation and Factorisation Questions
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© examsnet.com
Question : 7
Total: 77
A real number x is such that
(
x
−
x
2
)
is maximum. What is x equal to ?
[2019 CDS-II]
−
1.5
−
0.5
0.5
1.5
Validate
Solution:
Let
y
=
x
−
x
2
Differentiationy both, side w.r.t.x
d
y
d
x
=
1
−
2
x
At max.
d
y
d
x
=
0
⇒
1
−
2
x
=
0
⇒
x
=
1
2
=
0.5
© examsnet.com
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