` y = ax + bx ^(3)`

y= ax + bx^(2)

Form the differential equation by eliminating the arbitrary constant from the equation y = ax^(3) + bx^(2)

The curve y = ax ^(3) + bx ^(2) + cx + 5 touches the x-axis at P (-2, 0) and cuts the y-axis at a point Q where its gradient is 3, then 2a + 4b is equal to :

What conditions must be coefficients a,b,c satisfy for the curve y = ax^(4) +bx^(3) +cx^(2) +dx+e to have points of inflection ?

If the cubic polymomial y = ax ^(3) + bx^(2) +cx+ d (a,b,c,d inR) has only one critical point in its entire domain and ac=2, then the value of |b| is:

If the cubic polymomial y = ax ^(3) + bx^(2) +cx+ d (a,b,c,d inR) has only one critical point in its entire domain and ac=2, then the value of |b| is:

Let y=ax^(3) + bx^(2) + cx +d . Find the rate of change of y w.r.t x at x=0.