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Byju's Answer
Standard XII
Mathematics
Higher Order Derivatives
If x=cost a...
Question
If
x
=
cos
t
and
y
=
ln
t
; then at
t
=
π
2
;
(
d
2
y
d
x
2
+
(
d
y
d
x
)
2
)
is equal to
A
0
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B
−
1
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C
1
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D
2
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Solution
The correct option is
C
0
x
=
cos
t
⇒
d
x
d
t
=
−
sin
t
y
=
log
t
⇒
d
y
d
t
=
1
t
∴
d
y
d
x
=
−
1
t
sin
t
⇒
d
2
y
d
x
2
=
−
0
−
(
−
sin
t
+
t
cos
t
)
(
t
sin
t
)
2
×
−
sin
t
=
−
sin
t
−
t
cos
t
t
2
sin
t
∴
d
2
y
d
x
2
+
(
d
y
d
t
)
2
=
0
Suggest Corrections
0
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