The tangent to the curve $y = 4x^{3} + kx^{2} - 6x + 4$ at the point P(1, m) is parallel to the x- axis, where k and m are constants. Find the value of k

Similar Questions

The function $f : F \to R$  = \(f(x) = \begin{cases} 3x + 2 : x > 4 \\ 3x - 2 : x = 4 \\ ...

A binary operation * is defined on the set of real numbers R, by a* b = -1. Find the identity elemen...

A force 10N acts in the direction 060° and another force 6N acts in the direction 330°. Find...

The distance between P(x, 7) and Q(6, 19) is 13 units. Find the values of x. ...

If $y = x^{2} - 6x + 11$ is written in the form $y = a(x - h)^{2} + k$, find the value of \((a +...

The polynomial $2x^{3} + x^{2} - 3x + p$ has a remainder of 20 when divided by (x - 2). Find the v...

Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0.  ...

The initial and final velocities of an object of mass 5 kg are \(u = \begin{pmatrix} 1 \\ 3 \end{pma...

In the diagram above, forces P, Q and 50N are acting on a body at M. If the system is in equilibrium...

A particle starts from rest and moves in a straight line such that its velocity, v, at time t second...