(1, 2)
(1, 1)
(1, -1)
(1, -2)
Correct answer is C
\(y = 4x^{3} + kx^{2} - 6x + 4\)
\(\frac{\mathrm d y}{\mathrm d x} = 12x^{2} + 2kx - 6\)
At P(1, m)
\(\frac{\mathrm d y}{\mathrm d x} = 12 + 2k - 6 = 0\) (parallel to the x- axis)
\(6 + 2k = 0 \implies k = -3\)
\(P(1, m) \implies m = 4(1^{3}) - 3(1^{2}) - 6(1) + 4)
= -1
P = (1, -1)
Integrate \((x - \frac{1}{x})^{2}\) with respect to x....
Find the equation of a circle with centre (-3, -8) and radius \(4\sqrt{6}\)...
If α and β are the roots of \(7x2 +12x - 4 = 0\),find the value of \(\frac{αβ}...
If \(V = \begin{pmatrix} -2 \\ 4 \end{pmatrix}\) and \(U = \begin{pmatrix} ...
A circle with centre (5,-4) passes through the point (5, 0). Find its equation. ...
Which of the following is the semi- interquartile range of a distribution? ...
Evaluate \(\frac{\tan 120° + \tan 30°}{\tan 120° - \tan 60°}\)...