Let and , .
Then the set of all , where the function
is increasing , is :
If is non-zero polynomial of degree four,having local extreme points at then the set
contains exactly :
four irrational numbers.
four rational numbers.
two irrational and two rational numbers.
two irrational and one rational number.
Let be a differentiable function such that and . Then :
exists and equals 0
does not exist
exist and equals
exists and equals 4
For which of the following functions L.M.V.T is applicable in [1, 2] ?
For a curve , at any pont on it, difference of square of length of tangent and square of length of equals
Number of points of non diffrentiability of will be
If k= 1 , f(x ) becomes continous at x= 0
If k= -1 , f(x ) becomes continous at x= 0
for no value of k , f(x) can be made continous at x=0
f(x) is continous at x= 0 , for all value of k
f(x ) is continous at x= 0
f(x) has non - exsiting limit at x= 0
f(x) has LHL=RHL = f(0)
f(x) has removable discontinuty at x=0
Let Be two functions defined by
Statement I : is a continuous function at x = 0.
Statement II : g is a differentiable function at x = 0.
Both statements I and II are false.
Both statements I and II are true.
Statement I is true, statement II is false.
Statement I is false, statement II is true.