Home
Class 12
MATHS
Prove that all roots of the derivative ...

Prove that all roots of the derivative of the given polynomial `f(x) = (x+1) (x-1) (x-2) (x-3)` are real

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIAL CALCULUS TO INVESTIGATION OF FUNCTIONS

    IA MARON|Exercise APPROXIMATE SOLUTION OF ALGEBRAIC AND TRANSCENDENTAL EQUATIONS|9 Videos

  • APPLICATIONS OF THE DEFINITE INTEGRAL

    IA MARON|Exercise Computing Static Moments and Moments of Inertia. Determining Coordinates of the Centre of Gravity|15 Videos

Similar Questions

Explore conceptually related problems

The derivative of f(x) = (x + (1)/(x))^(3)

Find the sum of all the real roots of the polynomial prod_(k=1)^(100)(x^(2)-11x+k)=0

The sum of all real numbers which are not in the range of f(x)=((x-1)(x-2))/((x-3)(x-1)) is

The number of real roots of the polynomial equation x^(4)-x^(2)+2x-1=0 is

The derivative of f(x) = (2x + 1)^(3) is

The derivative of f(x) = x^(2) at x = 1 is

Let f(x) be a polynomial in x.They the derivative of f(e^(x)) is given by :

Let S be the set of all real roots of the equation, 3^(x)(3^(x)-1)+2=|3^(x)-1|+|3^(x)-2|