Finding Differentiability using Differentiation
Limits, Continuity and Differentiability

80200 If f(x) and g(x) are two functions with g(x)=x1x and fog(x)=x31x3, then f(x)=

1 3x2+3
2 x21x2
3 1+1x2
4 3x2+3x4
Limits, Continuity and Differentiability

80202 If f(x)={[x]+[x],x2 K,x=2 then f(x) is continuous at x=2, provided K is equal to

1 2
2 1
3 -1
4 0
Limits, Continuity and Differentiability

80203 If f(x)={xsin1/x,x0k,x=0 is continuous at x=0 , then the value of k will be

1 1
2 -1
3 0
4 None of these
Limits, Continuity and Differentiability

80200 If f(x) and g(x) are two functions with g(x)=x1x and fog(x)=x31x3, then f(x)=

1 3x2+3
2 x21x2
3 1+1x2
4 3x2+3x4
Limits, Continuity and Differentiability

80201 If f(x)={e3x14x for x0k+x4 for x=0 is continuous at x=0,

1 5
2 3
3 2
4 0
Limits, Continuity and Differentiability

80202 If f(x)={[x]+[x],x2 K,x=2 then f(x) is continuous at x=2, provided K is equal to

1 2
2 1
3 -1
4 0
Limits, Continuity and Differentiability

80203 If f(x)={xsin1/x,x0k,x=0 is continuous at x=0 , then the value of k will be

1 1
2 -1
3 0
4 None of these
Limits, Continuity and Differentiability

80200 If f(x) and g(x) are two functions with g(x)=x1x and fog(x)=x31x3, then f(x)=

1 3x2+3
2 x21x2
3 1+1x2
4 3x2+3x4
Limits, Continuity and Differentiability

80201 If f(x)={e3x14x for x0k+x4 for x=0 is continuous at x=0,

1 5
2 3
3 2
4 0
Limits, Continuity and Differentiability

80202 If f(x)={[x]+[x],x2 K,x=2 then f(x) is continuous at x=2, provided K is equal to

1 2
2 1
3 -1
4 0
Limits, Continuity and Differentiability

80203 If f(x)={xsin1/x,x0k,x=0 is continuous at x=0 , then the value of k will be

1 1
2 -1
3 0
4 None of these
Limits, Continuity and Differentiability

80200 If f(x) and g(x) are two functions with g(x)=x1x and fog(x)=x31x3, then f(x)=

1 3x2+3
2 x21x2
3 1+1x2
4 3x2+3x4
Limits, Continuity and Differentiability

80201 If f(x)={e3x14x for x0k+x4 for x=0 is continuous at x=0,

1 5
2 3
3 2
4 0
Limits, Continuity and Differentiability

80202 If f(x)={[x]+[x],x2 K,x=2 then f(x) is continuous at x=2, provided K is equal to

1 2
2 1
3 -1
4 0
Limits, Continuity and Differentiability

80203 If f(x)={xsin1/x,x0k,x=0 is continuous at x=0 , then the value of k will be

1 1
2 -1
3 0
4 None of these