Home
Class 12
MATHS
Statement 1: For all a ,b in R , the fu...

Statement 1: For all `a ,b in R ,` the function `f(x)=3x^4-4x^3+6x^2+a x+b` has exactly one extremum. Statement 2: If a cubic function is monotonic, then its graph cuts the x-axis only one.

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that for all a,b in the function f(X) =3x^(4)-4x^(3)+6x^(2)+ax+b has exactly one extremium.

The function f(x)=2+4x^(2)+6x^(4)+8x^(6) has

The function f(x)=x^(6)-x-1 cuts the x - axis

For what values of x the function f(x)=x^(4)-4x^(3)+4x^(2)+40 is monotonic decreasing?

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

For what values of x the function f(x)=x^(4)-4x^(3)+40 si monotonic decreassing?

Statement I :The function f(x)=(x^(3)+3x-4)(x^(2)+4x-5) has local extremum at x=1. Statement II :f(x) is continuos and differentiable and f'(1)=0.

Discuss the function f(x)=x^(6)-3x^(4)+3x^(2)-5, and plot the graph.

For what values of x the function f(x)= x^(4)-4x^(3)+4x^(2)+40 is monotonically increasing ?