If `f(x)=alog|x|+b x^2+x` has its extremum values at `x=-1a n dx=2,` then `a=2,b=-1` `a=2,b=-1//2` `a=-2,b=1//2` (d) none of these

If f(x)=a log|x|+bx^(2)+x has its extremum values at x=-1 and x=2, then

If f(x)=a ln|x|+bx^(2)+x has its extremum values at x=-1 and x=2, then (A)a=2,b=-1(B)a=2,b=-1/2(C)a=-2,b=1/2'(D) none of these

Let f(x)={1/(|x|)for|x|geq1a x^2+bfor|x|<1iff(x) is continuous and differentiable at any point, then a=1/2,b=-3/2 (b) a=-1/2,b=3/2 a=1, b=-1 (d) none of these

If f(x)=f(x)={(sin(a+1)x+sinx)/(x^x c),x<0(sqrt(x+b x^2)-sqrt(x))/(b xsqrt(x)),xgeq0,x-0 is continuous at x=0,t h e n a=-3/2,b=0,c=1/2 (b) a=-3/2,b=1,c=-1/2 a=-3/2,b in R-[0],c=1/2 (d) none of these

Let f(x)={(1/(|x|), for |x| ge 1),(ax^2+b,for |x| < 1)) . If f(x) is continuous and differentiable at any point, then (A) a=1/2, b=-3/2 (B) a=-1/2, b=3/2 (C) a=1,b=-1 (D) none of these

(lim)_(x rarr oo){(x^(3)+1)/(x^(2)+1)-(ax+b)}=2,then(a)a=1,b=1(b)a=1,b=2(c)a=1,b=-2(d) none of these

f'(x)=sqrt(2x^(2)-1) and y=f(x^(2)), then (dy)/(dx) at x=1 is 2(b)1(c)-2 (d) none of these

If a (A) x=0 (B) x=1 (C) x=2 (D) None of these.

Let f(x)=max. {2-x,2,1+x} then int_(-1)^1 f(x)dx= (A) 0 (B) 2 (C) 9/2 (D) none of these