`f(x)=|x^2-3|x|+2|dot` Then which of the following is/are true `f^(prime)(x)=2x-3forx in (0,1)uu(2,oo)` `f^(prime)(x)=2x+3forx in (-oo,-2)uu(-1,0)` `f^(prime)(x)=-2x-3forx in (-2,-1)` `non eoft h e s e`

f(x)=|x^2-3|x|+2|dot Then which of the following is/are true f^(prime)(x)=2x-3 for x in (0,1)uu(2,oo) f^(prime)(x)=2x+3 for x in (-oo,-2)uu(-1,0) f^(prime)(x)=-2x-3 for x in (-2,-1) None of these

f(x)=|x^2-3|x|+2|dot Then which of the following is/are true f^(prime)(x)=2x-3 for x in (0,1)uu(2,oo) f^(prime)(x)=2x+3 for x in (-oo,-2)uu(-1,0) f^(prime)(x)=-2x-3 for x in (-2,-1) None of these

f(x)=|x^(2)-3|x|+2|. Then which of the following is/are true f'(x)=2x-3 for x in(0,1)uu(2,oo)f'(x)=2x+3 for x in(-oo,-2)uu(-1,0)f'(x)=-2x-3 for x in(-2,-1) none of these

If f(x)=(x+3)/(5x^2+x-1) and g(x)=(2x+3x^2)/(20+2x-x^2) such that f(x) and g(x) are differentiable functions in their domains, then which of the following is/are true (a) 2f^(prime)(2)+g^(prime)(1)=0 (b) 2f^(prime)(2)-g^(prime)(1)=0 (c) f^(prime)(1)+2g^(prime)(2)=0 (d) f^(prime)(1)-2g^(prime)(2)=0

If f^(prime)(x)=3x^2-2/(x^3) and f(1)=0 , find f(x) .

Consider the function f:(-oo,\ oo)->(-oo,oo) defined by f(x)=(x^2-a x+1)/(x^2+a x+1),\ 0

If f: RvecR is a differentiable function such that f^(prime)(x)>2f(x)fora l lxRa n df(0)=1,t h e n : f(x) is decreasing in (0,oo) f^(prime)(x) e^(2x)in(0,oo)

Function f(x)=x^(2)(x-2)^(2) is (A) increasing in (0,1)uu(2,oo)

Let f(x)=2cos e c2x+secx+cos e cxdot Then find the minimum value of f(x)forx in (0,pi/2)dot

Let f(x)=2cos e c2x+secx+cos e cxdot Then find the minimum value of f(x)forx in (0,pi/2)dot