Equation of a curve is in the form of a third degree polynomial. It has local maxima and local minima at `x=1` and `x=3`.
Write `dy/dx`

Equation of a curve is in the form of a third degree polynomial. It has local maxima and local minima at x=1 and x=3 . If the curve passes through the point (3,1) , find the equation of the curve.

For the function, f(x)=sin2x, 0ltxltpi . Find the point of local maxima and local minima.

p(x) = (4x^2 - 1)(x + 2) . Write p(x) as the product of first degree factors. Write p(x) in the form of a third degree polynomial. What is the remainder obtained by dividing 4x^3 + 6x^2- x + 2 by (x + 2). What is the remainder obtained by dividing 4x^3+6x^2-x+1 by (2x-1).

Find the local maximum and local minimum value (if any) of the function y=x^3-27x+5

Write 2x^2+5x+3 as a product of two first degree polynomials.

Find all points of local maxima and local minima of the function f given by f(x)=x^3-3 x+3

Find all the point of local maxima and local minima of the function f given by f(x)=2 x^3-6 x^2+6 x+5

Show that the following function does not have a local maximum or a local minimum f(x) = x^3+x^2+x+1 .

If f(x)=x^3+3x^2-9x+4 is a real function Find the point of local maxima or local minima of f(x) .

Write the following as the product of first degree polynomials:- x^2+3x+2 .