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Byju's Answer
Standard XII
Mathematics
Complex Plane
The derivativ...
Question
The derivative of f(tanx) w.r.t. g(secx) at x =π/4 where f'(1) = 2 and g'(\sqrt2)= 4 is (1) 1/\sqrt2 (2) \sqrt2 (3) 1 (4) 1/
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Similar questions
Q.
The derivative of
f
(
tan
x
)
w.r.t.
g
(
sec
x
)
at
x
=
π
4
,
where
f
′
(
1
)
=
2
and
g
′
(
√
2
)
=
4
,
is
Q.
The derivative of
f
(
tan
x
)
with respect to
g
(
sec
x
)
at
x
=
π
4
, where
f
′
(
1
)
=
2
;
g
′
(
√
2
)
=
4
is
Q.
If f '(1) = 2 and g'
2
= 4, then the derivative of f(tan x) with respect of g(secx) at x =
π
4
is equal to ______________.
Q.
Assertion :
u
=
f
(
cot
x
)
&
v
=
g
(
cosec
x
)
&
f
′
(
1
)
=
√
2
and
g
′
(
√
2
)
=
2
then
(
d
u
d
v
)
x
=
π
4
=
1
Reason: If
u
=
f
(
x
)
,
v
=
g
(
x
)
then derivative of
f
w.r.t. to
g
is
d
u
d
v
=
d
u
/
d
x
d
v
/
d
x
Q.
For
n
ϵ
N
, let
f
(
x
)
=
m
i
n
{
1
−
tan
n
x
,
1
−
sin
n
x
,
1
−
x
n
}
,
x
ϵ
(
−
π
2
,
π
2
)
. The left hand derivative of
f
at
x
=
π
4
is
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