Loading [MathJax]/jax/output/CommonHTML/jax.js

CBSE Questions for Class 12 Commerce Maths Continuity And Differentiability Quiz 13 - MCQExams.com

If f is twice differentianle such that f"(x)=f(x),f(x)=g(x),h(x)=(f(x))2+(g(x))2 and h(0)=2,h(1)=4,then equation of h(x) represents ?
  • curve of degree 2
  • curve passing through origin
  • a straight line with slope 2
  • a straight line with slope 2
The value of π/20sec2xdx(secx+tanx)n,n>1 is equal to 
  • 1n21
  • 1n2+1
  • nn21
  • nn2+1
Let f be the function on [0,1] given by f(x)=xsinπxforx0 and f(0)=0. Then 
  • Continuous but bounded
  • Differentiable
  • Continuous but not bounded
  • Continuous and bounded
If f(x)=x+22x4+x22x4, then f(x) is differentiable on 
  • (,)
  • [2,){4}
  • [2,)
  • (0,)
If y=sec1(x+1x1)+sin1(x1x+1), then dydx is equal to
  • 0
  • 1x+1
  • 1
  • None of these
If f(x) is a non constant polynomial function f:RR such that 7ddx(xf(x))=3f(x)+4f(x+1), f(1)+f(0)=2, then number of such function is
  • 0
  • 1
  • 2
  • 3
The function f(x)=(x21)|x23x+2|+cos(|x|) is not differentiable at
  • 1
  • 0
  • 1
  • 2
If y=tan1(nex2nx2)+tan13+2nx16nx then d2ydx2=
  • 2
  • 1
  • 0
  • 1
If f(x)=p|sinx|+qe|x|+r|x|3 and f(x) is differentiable at x=0, then 
  • q+r=0;p is any real number
  • p+q=0;r is any real number
  • q=0,r=0;p is any real number
  • r=0,0\p=o\0;q is any real number
The derivative of f(tan1x), where f(x)=tanx is
  • 1
  • 11+x2
  • 2
  • 11+x2
If x2a2+y2b2=1, then d2ydx2=
  • b4a2y3
  • b2ay2
  • b3a2y3
  • b3a2y2
If f(x)=x+22x4+x22x4, then f(x) is differentiable on
  • (,)
  • [2,) { 4}
  • [2,)
  • [0,)
f(x)=min1,cosx,1sinx,πxπ then
  • f(x) is not differentiable at '0'
  • f(x) is differentiable at π/2
  • f(x) has local maximum at '0'
  • None of these
If y = tan 1 1+x21x, thendydx=
  • 11+x2
  • 11+x2
  • 12(1+x2)
  • 21+x2
Let f be a differentiable function for all x. If f(1)=2 and f(x)2 for x[1,6] then
  • f(6)<5
  • f(6)=5
  • f(6)8
  • f(6)<8
The number of points at which g(x)=11+2f(x) is not differentiable where f(x)=11+1x is
  • 1
  • 2
  • 3
  • 4
If y=cos1(xx1x+x1), then dydx=
  • 21+x2
  • 21+x2
  • 11+x2
  • 11+x2
If Cos1(x2y2x2+y2)=a, then dydx=
  • xy
  • xy
  • yx
  • yx
The derivate of tan1[sinx1+cosx] with respect to tan1[cosx1+sinx] is
  • 2
  • 1
  • 0
  • 2
If y=cos1(xx1x+x1), then dydx is equal to
  • 21+x2
  • 21+x2
  • 11+x2
  • 11+x2
if f(x)=a|sinx|+bex+c|x3|, where a,b,cϵ R, is differentiable at x=0 then
  • a=0,bandc are real numbers
  • c=0,a=0, be is any real numbers
  • b=0,c=0 a is any real numbers
  • a=0,b=0,c is any real numbers
If f(x) is differentiable function and f(1)=sin1,f(2)=sin4,f(3)=sin9, then the minimum number of distinct solutions of equation f(x)=2xcosx2 in (1,3) is
  • 1
  • 2
  • 3
  • 4
Let f be a differentiable function satisfying the condition  f(xy)=f(x)f(y), for all x, y(0)ϵR and f(y)If f'(1)=2, then f'(x) is equal to 
  • 2 f(x)
  • f(x)x
  • 2x f(x)
  • 2f(x)x
Let f be a differentiable function satisfying the relation f(xy) = xf(y) - 2xy+yf(x) (where x,y > 0) and f(1) = 3, then
  • f(x) =x nx+3xx22
  • f(x)=xnx
  • x=e3 is the abscissa of the point of inflection of f(x)
  • the equation f(x) = k has two solution if x (e3,0)
Let  f:RR  be a twice differentiable function satisfying  f(x)=5f(x)+6f0,x0,f(0)=1  and  f(0)=0.  if  f(x)  satisfies  f(x)a.h(bx)b¯h(ax),x0,  then  a+b  is equal to
  • 3
  • 1
  • 6
  • 5
S be the set in which function defined by f(x)=sin|x||x|+2(xπ)cos|x| is  differtentiable then no of element in S is
  • 2
  • 3
  • 4
  • ϕ
If  y=sin12x1+x2,  then which of the following is not correct ?
  • dydx=21+x2 for |x|<1
  • dydx=21+x2 for |x|>1
  • dydx=2 for x=1
  • dydx does not exist at |x|=1
ddx(sin1{1+x+1x2})=
  • 121x2
  • 121x2
  • 11x2
  • 11x2
If y=cot1[1+sinx+1sinx1+sinx1sinx]thendydxisequalto 
  • 12
  • 23
  • 3
  • 2
The number of point at which the function F(x)= max{ax,a+x,b}<x<,0<a<b cannot be differentiable is 
  • 1
  • 2
  • 3
  • none of these
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 12 Commerce Maths Quiz Questions and Answers