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Byju's Answer
Standard XII
Mathematics
Algebra of Derivatives
Derivative of...
Question
Derivative of
2
tan
x
−
7
sec
x
with respect to
x
is:
A
2
sec
x
+
7
tan
x
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B
sec
x
(
2
sec
x
+
tan
x
)
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C
2
sec
2
x
+
sec
x
.
tan
x
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D
sec
x
(
2
sec
x
−
7
tan
x
)
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Solution
The correct option is
D
sec
x
(
2
sec
x
−
7
tan
x
)
Diffrentiating the given function with respect to
x
:
d
d
x
(
2
tan
x
−
7
sec
x
)
=
2
sec
2
x
−
7
sec
x
tan
x
=
sec
x
(
2
sec
x
−
7
tan
x
)
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