Question
If 
then
- f(x) is continuous at x=2
- f(x) is differentiable at x= 2
- f'(2) = cos1
- f(x) is non-differentiable at x=0
The correct answer is: f'(2) = cos1
Related Questions to study
Which of following is not a disproportionation reaction?
Which of following is not a disproportionation reaction?
Consider a continuous function 
for all a, b in the domain of ‘f’ and 
is a non zero finite number then
Consider a continuous function for all a, b in the domain of ‘f’ and is a non zero finite number then
The figure shows four pairs of polarizing sheets, seen face-on. Each pair is mounted in the path of initially unpolarized light. The polarizing direction of each sheet (indicated by the dashed line) is referenced to either a horizontal x-axis or a vertical y axis. Rank the pair according to the fraction of the initial intensity that they pass, greatest first
The figure shows four pairs of polarizing sheets, seen face-on. Each pair is mounted in the path of initially unpolarized light. The polarizing direction of each sheet (indicated by the dashed line) is referenced to either a horizontal x-axis or a vertical y axis. Rank the pair according to the fraction of the initial intensity that they pass, greatest first
The figure here gives the electric field of an EM wave at a certain point and a certain instant. The wave is transporting energy in the negative z direction. What is the direction of the magnetic field of the wave at that point and instant
The figure here gives the electric field of an EM wave at a certain point and a certain instant. The wave is transporting energy in the negative z direction. What is the direction of the magnetic field of the wave at that point and instant
In the set up shown in Fig the two slits, 
and 
are not equidistant from the slit S. The central fringe at O is then
In the set up shown in Fig the two slits, and are not equidistant from the slit S. The central fringe at O is then
In a Young’s double slit experimental arrangement shown here, if a mica sheet of thickness t and refractive index 
is placed in front of the slit 
then the path difference 
In a Young’s double slit experimental arrangement shown here, if a mica sheet of thickness t and refractive index is placed in front of the slit then the path difference
The compound (A) is :
The compound (A) is :
A) Requires 2 mol of 
for its saturation
B) Reduces ammoniacal 
and gives yellow colour with 
C) does not reduce Tollens reagent but gives iodoform test
D) n dehydration with conc. 
gives a mixture of colourless gases
The compound (A) is:
A) Requires 2 mol of for its saturation
B) Reduces ammoniacal and gives yellow colour with
C) does not reduce Tollens reagent but gives iodoform test
D) n dehydration with conc. gives a mixture of colourless gases
The compound (A) is:
Gives positive Tollens test but negative iodoform test (C) Gives negative Tollens test but positive iodoform test The compound (A) is:
Gives positive Tollens test but negative iodoform test (C) Gives negative Tollens test but positive iodoform test The compound (A) is:
Redox equations are balanced either by ion-electron method or by oxidation number method. Both methods lead to the correct from of the balanced equation. The ion electron method has two advantages. So some chemists prefer to use the ion-electron method for redox reactions carried out in dilute aqueous solutions, where free ions have more or less independent existence The oxidation state method for redox reactions is mostly used for solid chemicals or for reactions in concentrated acid media For the reaction 
The -factor is
Redox equations are balanced either by ion-electron method or by oxidation number method. Both methods lead to the correct from of the balanced equation. The ion electron method has two advantages. So some chemists prefer to use the ion-electron method for redox reactions carried out in dilute aqueous solutions, where free ions have more or less independent existence The oxidation state method for redox reactions is mostly used for solid chemicals or for reactions in concentrated acid media For the reaction The -factor is
The valency of carbon is generally 4, but its oxidation state may be -4,-2,0,+2,-1 etc. In the compounds containing C,H, and O, the oxidation number of C is calculated as Oxidation number of 
Where 
and nc are the number of oxygen, hydrogen and carbon atoms , respectively The oxidation state of C in diamond is
The valency of carbon is generally 4, but its oxidation state may be -4,-2,0,+2,-1 etc. In the compounds containing C,H, and O, the oxidation number of C is calculated as Oxidation number of Where and nc are the number of oxygen, hydrogen and carbon atoms , respectively The oxidation state of C in diamond is
Oxidation reaction involves loss of electrons, and reduction reaction involves gain of electrons. The reaction in which a species disproportionate into two oxidation states (lower and higher) is called disproportionate reaction Which of the following statements is wrong?
Oxidation reaction involves loss of electrons, and reduction reaction involves gain of electrons. The reaction in which a species disproportionate into two oxidation states (lower and higher) is called disproportionate reaction Which of the following statements is wrong?
This section contains five paragraphs. Based on each paragraph, 3-7 multiple choice questions have to be answered. Each question has four choices (a) , (b) , (c) , and (d) , out of which only one is correct, except in the paragraph for problem 19-25 Consider the following unbalanced redox reaction:
The oxidation number of X is-2, and neither X nor water is involved in the redox process
The element(s) undergoing oxidation is/are
This section contains five paragraphs. Based on each paragraph, 3-7 multiple choice questions have to be answered. Each question has four choices (a) , (b) , (c) , and (d) , out of which only one is correct, except in the paragraph for problem 19-25 Consider the following unbalanced redox reaction:
The oxidation number of X is-2, and neither X nor water is involved in the redox process
The element(s) undergoing oxidation is/are
Statement 1: 
and 
are both bleaching agents
Statement 2:Both are reducing agents
Statement 1: and are both bleaching agents
Statement 2:Both are reducing agents
Statement 1:Reduction of 3-phenyl prop-2-en-1-al with LAH gives 3-phenyl prpan-1-ol
Statement 2:Both the double bond and the aldehyde group of 
unsaturated aldehydes are reduced by LAH
Statement 1:Reduction of 3-phenyl prop-2-en-1-al with LAH gives 3-phenyl prpan-1-ol
Statement 2:Both the double bond and the aldehyde group of unsaturated aldehydes are reduced by LAH
