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

For all a ,b I R the functio f(x)=3x^(4)-4x^(3)+6x^(2)+ax+b has

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

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.

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.

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.

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

The function f(x)=x^(3)+ax^(2)+bx+c,a^(2)le3b has

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

Prove that the equation,3x^(3)-6x^(2)+6x+sin x=0 has exactly one real root.

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