y=ax+bx^(3)

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 :

Show that y=ax^(3)+bx^(2)+c is a solution of the differential equation (d^(3)y)/(dx^(3))=6a

Equation of normal to the curve y=ax^(3)+bx^(2)+c , where the curve crosses the Y-axis, is

Find the derivatives of the following functions (1-3) at any point of their domains : y=ax^(3)+bx^(2)+cx+d

If the point (1,3) serves as the point of inflection of the curve y=ax^(3)+bx^(2) then the value of 'a' and 'b' are -

If the slope of the tangent to the curve y=ax^(3)+bx+4 at (2,14) is 21, then the value of a and b are respectively

If the graph of y=ax^(3)+bx^(2)+cx+d is symmetric about the line x=K then the value of a+K is (y is not a constant function)

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

If the slope of tangent to the curve y=ax^(3)-bx^(2) at x=1 is equal to 3 ,where a in[1,2] then number of possible integral values of b is

The curve y=ax^(3)+bx^(2)+cx is inclined by 45^(@) to x-axis at origin and it touches x-axis at (1,0). Then