List of top Mathematics Questions on Application of derivatives asked in JKCET
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List of top Mathematics Questions on Application of derivatives asked in JKCET
In which of the following intervals, the function
y
(
x
)
=
x
3
−
3
x
2
−
9
x
+
5
y(x) = x^3 - 3x^2 - 9x + 5
y
(
x
)
=
x
3
−
3
x
2
−
9
x
+
5
is always decreasing?
JKCET - 2017
JKCET
Mathematics
Application of derivatives
A normal to the curve
2
x
2
−
y
2
=
14
2x^{2 }- y^{2} = 14
2
x
2
−
y
2
=
14
at the point
(
x
1
,
y
1
)
(x_{1}, y_{1})
(
x
1
,
y
1
)
is parallel to the straight line
x
+
3
y
=
4
x + 3y = 4
x
+
3
y
=
4
. Then the point
(
x
1
,
y
1
)
(x_{1}, y_{1})
(
x
1
,
y
1
)
is
JKCET - 2016
JKCET
Mathematics
Application of derivatives
Which of the following is a tangent to the curve given by
x
3
+
y
3
=
2
x
y
?
{{x}^{3}}+{{y}^{3}}=2xy?
x
3
+
y
3
=
2
x
y
?
JKCET - 2015
JKCET
Mathematics
Application of derivatives
Let function
f
(
x
)
=
(
x
−
1
)
2
(
x
+
1
)
3
.
f(x)={{(x-1)}^{2}}{{(x+1)}^{3}}.
f
(
x
)
=
(
x
−
1
)
2
(
x
+
1
)
3
.
Then, which of the following is false?
JKCET - 2015
JKCET
Mathematics
Application of derivatives
Let
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
be a point on the curve
y
2
=
4
x
{{y}^{2}}=4x
y
2
=
4
x
at which the tangent is perpendicular to the line
2
x
+
y
=
−
2.
2x+y=-2.
2
x
+
y
=
−
2.
Then, the coordinates of the point
P
P
P
are
JKCET - 2012
JKCET
Mathematics
Application of derivatives
If
f
(
x
)
=
k
x
−
cos
x
f(x)\,=kx\,-\,\cos \,x
f
(
x
)
=
k
x
−
cos
x
is monotonically increasing for all
x
∈
R
,
x\in R,
x
∈
R
,
then
JKCET - 2011
JKCET
Mathematics
Application of derivatives