If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.
If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.
If \(\begin{vmatrix} 2 & -4 \\ x & 9 \end{vmatrix} = 58\), find the value of x.
If \(y = 6x^3 + 2x^{-2} - x^{-3}\), find \(\frac{\mathrm d y}{\mathrm d x}\).
\(\frac{d}{dx} [\log (4x^3 - 2x)]\) is equal to
