Maths
General
Easy
Question
is decreasing in

 only
 only
 only
Hint:
We are given a function. We have to find the interval for which it is decreasing. We will take the first order derivative to find the answer
The correct answer is:
The given function is f(x) = tan^{1}x  x
A function is said to be decreasing when it’s first order derivative is negative
It means f’(x) < 0
We will use this condition to find the answer.
Taking the first order derivative of the given function.
f(x) = tan^{1}x  x
The negative sign make sures that the function is negative i.e. decreasing.
x can take any value of real number.
And the set of real numbers extends from ∞ to ∞.
So, the interval for which given function is decreasing is (∞, ∞)
We should know the formulas of differentiation. And, we should know the condition for increasing and decreasing function.
Related Questions to study
Maths
The interval of increase of the function is
For such questions, we should know different formulas of differentiation.
The interval of increase of the function is
MathsGeneral
For such questions, we should know different formulas of differentiation.
physics
In experiment of the potentiometer wire of length 100 cm has a resistance of 10, It is connected in series with a resistance R and a cell of emf 2 volts and of negligible internal resistance. A Source of emf 10mV is balanced against a length of 40 cm of the potentiometer wire. What is the value of the external resistance?
In experiment of the potentiometer wire of length 100 cm has a resistance of 10, It is connected in series with a resistance R and a cell of emf 2 volts and of negligible internal resistance. A Source of emf 10mV is balanced against a length of 40 cm of the potentiometer wire. What is the value of the external resistance?
physicsGeneral
Maths
The function is
For such questions, we should check the rules of increasing and decreasing function.
The function is
MathsGeneral
For such questions, we should check the rules of increasing and decreasing function.
maths
If the function is decreasing in its domain then
If the function is decreasing in its domain then
mathsGeneral
Maths
The function is
We have to see the rules for a increasing and decreasing function.
The function is
MathsGeneral
We have to see the rules for a increasing and decreasing function.
maths
If then the maximum value of is
If then the maximum value of is
mathsGeneral
maths
The minimum value of the function where is
The minimum value of the function where is
mathsGeneral
physics
In the experiment of potentiometer wire is 100 cm long shown in figure When AC=40 cm, no deflection occurs in the galvanometer. What is the value of R ?
In the experiment of potentiometer wire is 100 cm long shown in figure When AC=40 cm, no deflection occurs in the galvanometer. What is the value of R ?
physicsGeneral
physics
Consider the potentiometer circuit shown. The potentiometer wire is 600 cm long and having restance 15r At what distance from the point A should the jockey touch the wire to get zero deflection in the galvanometer?
Consider the potentiometer circuit shown. The potentiometer wire is 600 cm long and having restance 15r At what distance from the point A should the jockey touch the wire to get zero deflection in the galvanometer?
physicsGeneral
physics
Circuit for the measurement of resistance by potentiometer is shown. The galvanometer is first connected at pointA and zerodeflection is observed at length PJ=10 cm. In the second case, it is connected at a point and zero deflection is observed at a length from P. Then what is the unknown resistance X?
Circuit for the measurement of resistance by potentiometer is shown. The galvanometer is first connected at pointA and zerodeflection is observed at length PJ=10 cm. In the second case, it is connected at a point and zero deflection is observed at a length from P. Then what is the unknown resistance X?
physicsGeneral
physics
The current taken from the 30 V supply and the current through the 6 resistor are respectively.
The current taken from the 30 V supply and the current through the 6 resistor are respectively.
physicsGeneral
physics
common base amplifier circuit, calculate the change in base current if that in the collector current is 2 mA and =0.98
common base amplifier circuit, calculate the change in base current if that in the collector current is 2 mA and =0.98
physicsGeneral
physics
The current gain of a transistor in common base mode is 0.99. To change the emitter current by 5 mA. What will be the necessary change in collector current?
The current gain of a transistor in common base mode is 0.99. To change the emitter current by 5 mA. What will be the necessary change in collector current?
physicsGeneral
physics
In a transistor amplifier β=62,=5000Ω and internal resistance of the transistor is 500Ω. What will be the ratio of power amplification to voltage amplification?
In a transistor amplifier β=62,=5000Ω and internal resistance of the transistor is 500Ω. What will be the ratio of power amplification to voltage amplification?
physicsGeneral
physics
In a transistor, a change of 8.0 in the emitter current produces a change of 7.8 mA in the collector current. What change in the base current is necessary to produce the same change in the collector current?
In a transistor, a change of 8.0 in the emitter current produces a change of 7.8 mA in the collector current. What change in the base current is necessary to produce the same change in the collector current?
physicsGeneral