If `f(x)=x^3+b x^2+c x+d` and `0

If f(x)=x^3+bx^3+cx+d and 0 lt b^2 lt c "then in" (-oo,oo)

If f(x) = x^(3) + bx^(2) + cx +d and 0lt b^(2) lt c .then in (-infty, infty)

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to a.(1)/(4) b.0 c.(1)/(3) d.4

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to- (1)/(4)(b)0 (c) (1)/(3)(d)4

Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2c x+d=0 has at least one real root lying between (0,3)dot Statement 2: If f(x) is continuous in [a,b], derivable in (a , b) such that f(a)=f(b), then there exists at least one point c in (a , b) such that f^(prime)(c)=0.

If f(x)=x^(1/3)(x-2)^(2/3) for all x, then the domain of f' is x in R-{0} b.{x|x:)0} c.x in R-{0,2} d.x in R

For f(x)=x^(3)+bx^(2)+cx+d , if b^(2) gt 4c gt 0 and b, c, d in R , then f(x)

If f(x) = | x | + [ x ] , then f( -3/2 ) + f( 3/2 ) is equal to : ( a ) 1 ( b ) -1/2 ( c ) 2 ( d ) 1/2