1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Parametric Differentiation
If y =1+ t 4 ...
Question
If
y
=
1
+
t
4
and
x
=
3
t
3
+
t
then
d
y
d
x
is equal to
A
4
t
3
9
t
2
+
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
9
t
2
+
1
4
t
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4
t
3
(
9
t
2
+
1
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9
t
2
−
4
t
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
4
t
3
9
t
2
+
1
The function is given in parametric form.
d
y
d
x
=
d
y
d
t
.
d
t
d
x
=
d
y
d
t
/
d
x
d
t
y
=
1
+
t
4
d
y
d
t
=
4
t
3
…
…
(
1
)
x
=
3
t
3
+
t
d
x
d
t
=
9
t
2
+
1
…
…
(
2
)
∴
d
y
d
x
=
d
y
/
d
t
d
x
/
d
t
=
4
t
3
9
t
2
+
1
[using (1) and (2)]