If `f(x) = |(1, 1, 1), (1, x, x^2), (1, x^2, x^3)|,` then `f'(x)` vanishes at

If f(x)=det[[1,1,11,x,x^(2)1,x^(2),x^(3)]], then f'(x) vanishes

If f(x)= |(1,1,1),(2x,x-1,x),(3x(x-1),(x-1)(x-2),x(x-1))| , then f(50)=

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

If f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4) , then f'(0)=1

If f(x) =|(1, x, x+1),(2x, x(x-1), x(x+1)), (3x(x-1), 2(x-1)(x-2), x(x+1)(x-1))| then what is f(-1) +f(0) +f(1) equal to ?

If f(x)=sin −1 ( 2 3 ​ ​ x− 2 1 ​ 1−x 2 ​ ),− 2 1 ​ ≤x≤1, then f(x) is equal to

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

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

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