Maths-
General
Easy
Question
If
then y satisfies
Hint:
In this question we have to differentiate the function twice to get the required result.
The correct answer is: 
Related Questions to study
physics-
In the figure, a proton moves a distance d in a uniform electric field E as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease?

In the figure, a proton moves a distance d in a uniform electric field E as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease?

physics-General
maths-
Solution of
is
Solution of
is
maths-General
physics-
Two charges
and
are placed 30 cm apart, as shown in the figure. A third charge
is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is
where k is

Two charges
and
are placed 30 cm apart, as shown in the figure. A third charge
is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is
where k is

physics-General
physics-
Figure shows three spherical and equipotential surfaces A, B and C round a point charge q. The potential difference
. If
and
be the distance between them. Then

Figure shows three spherical and equipotential surfaces A, B and C round a point charge q. The potential difference
. If
and
be the distance between them. Then

physics-General
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Charges +q and –q are placed at points A and B respectively which are a distance
apart, C is the mid-point between A and B. The work done in moving a charge+
along the semicircle CRD is

Charges +q and –q are placed at points A and B respectively which are a distance
apart, C is the mid-point between A and B. The work done in moving a charge+
along the semicircle CRD is

physics-General
physics-
Consider three concentric shells of metal A, B and C are having radii a, b and c respectively as shown in the figure
Their surface charge densities are
respectively. Calculate the electric potential on the surface of shell A

Consider three concentric shells of metal A, B and C are having radii a, b and c respectively as shown in the figure
Their surface charge densities are
respectively. Calculate the electric potential on the surface of shell A

physics-General
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Work required to set up the four charge configuration (as shown in the figure) is

Work required to set up the four charge configuration (as shown in the figure) is

physics-General
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The points resembling equal potentials are

The points resembling equal potentials are

physics-General
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In the following diagram the work done in moving a point charge from point P to point A, B and C is respectively as
then

In the following diagram the work done in moving a point charge from point P to point A, B and C is respectively as
then

physics-General
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Three charges
and
are placed at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if
is equal to

Three charges
and
are placed at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if
is equal to

physics-General
physics-
A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure.
be the potentials at points A, B and C respectively. Then

A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure.
be the potentials at points A, B and C respectively. Then

physics-General
physics-
The figure shows electric potential V as a function of
. Rank the four regions according to the magnitude of
-component of the electric field E within them, greatest first

The figure shows electric potential V as a function of
. Rank the four regions according to the magnitude of
-component of the electric field E within them, greatest first

physics-General
maths-
The general solution of the equation
is
The general solution of the equation
is
maths-General
Maths-
Solution of
is given by
Solution of
is given by
Maths-General
Maths-
Equation of the curve passing through (3, 9) which satisfies the differential equation
is
Equation of the curve passing through (3, 9) which satisfies the differential equation
is
Maths-General