" 31."f(x)=(x-1)^(3)(x+1)^(2)

If f(x)=det[[x-2,(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+2)^(3) then coefficient of x in f(x), is ]]

If f(x)=(1+x)(2+x^(2))^((1)/(2))(3+|x^(3)|)^((1)/(3)) then f'(-1) is

If f(x)=(x-1)/(2x^(2)-7x+5) for x!=1 and f(x)=-(1)/(3) for x=1 then f'(1)=

If f(x)=(1+x)/(1-x), show that: f(2x)=(3f(x)-1)/(3-f(x)) .

Let f(x)=|(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x)| then |f(2.9)^(1//3)|= ___________

Find the absolute maximum and absolute minimum values of f(x)=(x-1)^(2)+3 in [-3,1]

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals f(x)=(x-1)^2+3,x in [-3,1]

If m and M respectively denote the minimum and maximum of f(x)=(x-1)^(2)+3 for x in[-3,1], then the ordered pair (m,M) is equal to