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

If \(f(x) = 3x^3 + 4x^2 + x - 8\), what is the value of f(-2)?

Solve for x in \(\frac{4x - 6}{3} \leq \frac{3 + 2x}{2}\)