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Byju's Answer
Standard XII
Mathematics
Derivative of Standard Functions
If y=sec...
Question
If
y
=
s
e
c
x
+
tan
x
, then
d
y
d
x
=
.
A
xsecx
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B
ysecx
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C
y
sin
x
cos
x
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D
xy
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Solution
The correct option is
C
ysecx
Given,
y
=
s
e
c
x
+
t
a
n
x
on differentiating the given function with respect to x, we get
⇒
d
y
d
x
=
s
e
c
x
.
t
a
n
x
+
sec
2
(
x
)
⇒
d
y
d
x
=
s
e
c
x
(
t
a
n
x
+
s
e
c
x
)
⇒
d
y
d
x
=
y
s
e
c
x
so the answer of given question is
y
s
e
c
x
.
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