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if y 9x x x find dydx at a point where y 3
Question:
If,
y
=
9
x
+
x
+
x
+
.
.
.
.
∞
find
d
y
d
x
at a point where y = 3.
MHT CET
Updated On:
Jun 23, 2024
(A) 3
(B) -3
(C) -6
(D) -9
Show Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Explanation:
y
2
=
9
(
x
+
y
)
2
y
(
d
y
d
x
)
=
9
+
9
(
d
y
d
x
)
(
d
y
d
x
)
=
9
2
y
−
9
Now putting y = 3 we get
d
y
d
x
=
−
3
Hence, the correct option is (B).
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