Let `f'(x)=3x^2sin(1/x)-xcos(1/x)` ,if `x!=0,f(0)=0` and `f(1/pi)=0` then

Let f'(x)=3x^2sin1/x-xcos1/x , if x!=0\ ; f(0)=0 and f(1//pi)=0 then: f(x) is continuous at x=0 f(x) is non derivable at x=0 f'(x) is continuous at x=0 f'(x) is non derivable at x=0

Let f'(x)=3x^(2)sin((1)/(x))-x cos((1)/(x)), if x!=0,f(0)=0 and f((1)/(pi))=0 then

If f'(x)=3x^(2)sin(1/x)-x cos(1/x) ,x!=0 ,f(0)=0 then the value of f((1)/(pi)) is

f(x)=(sin^(-1)x)^(2)*cos((1)/(x))ifx!=0;f(0)=0,f(x)

If f'(x)=3x^(2)sin x-x cos x x!=0 f(0)=0 then the value of f((1)/(pi)) is

If f'(x)=3x^(2)sin x-x cos x ,x!=0 f(0)=0 then the value of f((1)/(pi)) is

f(x)=(sin x-x cos x)/(x^(2)) if x!=0 and f(0)=0 then int_(0)^(1)f(x)dx is

Let f:R rarr R be defined by f(x)={x+2x^(2)sin((1)/(x)) for x!=0,0 for x=0 then

If f(x)=(sin^(- 1)x)^2*cos(1/ x)"if"x!=0;f(0)=0,f(x) is continuous at x= 0 or not ?

Let f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 then f(1) is