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Mathematics
Mathematics
Problem
If
y
=
f
(
x
3
)
y = f(x^3)
y
=
f
(
x
3
)
,
z
=
g
(
x
5
)
z = g(x^5)
z
=
g
(
x
5
)
,
f
′
(
x
)
=
tan
x
f'(x) = \tan x
f
′
(
x
)
=
tan
x
and
g
′
(
x
)
=
sec
x
g'(x) = \sec x
g
′
(
x
)
=
sec
x
, then find the value of
lim
x
→
0
d
y
d
z
\lim_{x \to 0} \frac{dy}{dz}
lim
x
→
0
d
z
d
y
.
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