Maths-
General
Easy

Question

If f : R → R is continuous and differentiable function such that not stretchy integral subscript negative 1 end subscript superscript x end superscript blankf(t) dt + f¢¢¢ (3) not stretchy integral subscript x end subscript superscript 0 end superscript d t equals not stretchy integral subscript 1 end subscript superscript x end superscript blankt3
dt – f ¢ (1) not stretchy integral subscript 0 end subscript superscript x end superscript blankt2 dt + f ¢¢ (2) not stretchy integral subscript x end subscript superscript 3 end superscript blankt. dt, then the value of f ¢ (4) is :

  1. 48 – 8 f ¢ (1) + f ¢¢ (2)    
  2. 48 – 8 f ¢ (1) – f ¢¢ (2)    
  3. 48 + 8 f ¢ (1) + f ¢¢ (2)    
  4. None of these.    

The correct answer is: 48 – 8 f ¢ (1) – f ¢¢ (2)

Related Questions to study

General
physics-

Assertion : The refractive index of diamond is square root of 6 and that of liquid is square root of 3
If the light travels from diamond to the liquid, it will totally reflected when the angle of incidence is 30o
Reason :mu equals fraction numerator 1 over denominator sin invisible function application C end fraction where mu is the refractive index of diamond with respect to liquid

Assertion : The refractive index of diamond is square root of 6 and that of liquid is square root of 3
If the light travels from diamond to the liquid, it will totally reflected when the angle of incidence is 30o
Reason :mu equals fraction numerator 1 over denominator sin invisible function application C end fraction where mu is the refractive index of diamond with respect to liquid

physics-General
General
maths-

If f : [0, p] → R is continuous and not stretchy integral subscript 0 end subscript superscript pi end superscript blankf(x) sin x dx = not stretchy integral subscript 0 end subscript superscript pi end superscript blankf(x) cos x dx = 0, then the number of roots of f(x) in (0, p) is

If f : [0, p] → R is continuous and not stretchy integral subscript 0 end subscript superscript pi end superscript blankf(x) sin x dx = not stretchy integral subscript 0 end subscript superscript pi end superscript blankf(x) cos x dx = 0, then the number of roots of f(x) in (0, p) is

maths-General
General
physics-

Assertion : Different colours travel with different speed in vacuum
Reason : Wavelength of light depends on refractive index of medium

Assertion : Different colours travel with different speed in vacuum
Reason : Wavelength of light depends on refractive index of medium

physics-General
parallel
General
chemistry-

The following substance can be used as a raw material for obtaining alcohol:

The following substance can be used as a raw material for obtaining alcohol:

chemistry-General
General
chemistry-

Etherates are

Etherates are

chemistry-General
General
chemistry-

E t h y l space a l c o h o l space r e a c t s space w i t h space H C l space b u t space n o t space w i t h space H C N space b e c a u s e colon

E t h y l space a l c o h o l space r e a c t s space w i t h space H C l space b u t space n o t space w i t h space H C N space b e c a u s e colon

chemistry-General
parallel
General
chemistry-

Lucas reagent produces cloudiness immediately with:

Lucas reagent produces cloudiness immediately with:

chemistry-General
General
chemistry-

 The product  is

 The product  is

chemistry-General
General
chemistry-

Alloys of which metal are light and strong and are used in the manufacture of aeroplane parts?

Alloys of which metal are light and strong and are used in the manufacture of aeroplane parts?

chemistry-General
parallel
General
chemistry-

The right order of the solubility of sulphates of alkaline earth metals in water is

The right order of the solubility of sulphates of alkaline earth metals in water is

chemistry-General
General
chemistry-

A space g a s space r e a c t s space w i t h space C a O space a n d space n o t space w i t h space N a H C O subscript 3 space i s colon

A space g a s space r e a c t s space w i t h space C a O space a n d space n o t space w i t h space N a H C O subscript 3 space i s colon

chemistry-General
General
maths-

If point O is the centre of a circle circumscribed about a triangle ABC. Then Error converting from MathML to accessible text.

If point O is the centre of a circle circumscribed about a triangle ABC. Then Error converting from MathML to accessible text.

maths-General
parallel
General
chemistry-

Which pair of the following chlorides do not impart colour to the flame?

Which pair of the following chlorides do not impart colour to the flame?

chemistry-General
General
maths-

If for A X equals B comma B equals open square brackets table row cell 9 end cell row cell 52 end cell row cell 0 end cell end table close square brackets and A to the power of negative 1 end exponent equals open square brackets table row 3 cell negative fraction numerator 1 over denominator 2 end fraction end cell cell negative fraction numerator 1 over denominator 2 end fraction end cell row cell negative 4 end cell cell rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow fraction numerator 3 over denominator 4 end fraction end cell cell fraction numerator 5 over denominator 4 end fraction end cell row 2 cell negative fraction numerator 1 over denominator 4 end fraction end cell cell negative fraction numerator 3 over denominator 4 end fraction end cell end table close square brackets,then X is equal to

If for A X equals B comma B equals open square brackets table row cell 9 end cell row cell 52 end cell row cell 0 end cell end table close square brackets and A to the power of negative 1 end exponent equals open square brackets table row 3 cell negative fraction numerator 1 over denominator 2 end fraction end cell cell negative fraction numerator 1 over denominator 2 end fraction end cell row cell negative 4 end cell cell rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow rightwards arrow over short leftwards arrow fraction numerator 3 over denominator 4 end fraction end cell cell fraction numerator 5 over denominator 4 end fraction end cell row 2 cell negative fraction numerator 1 over denominator 4 end fraction end cell cell negative fraction numerator 3 over denominator 4 end fraction end cell end table close square brackets,then X is equal to

maths-General
General
chemistry-

The metal ion, that plays an important role in muscle contraction, is

The metal ion, that plays an important role in muscle contraction, is

chemistry-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.