Find the derivative: \(\dfrac{d}{dx}\left(5x^3\right)\)

\(15x^2\)

Find the derivative: \(\dfrac{d}{dx}\left(9x^5 - 4x^3 + 2\right)\)

\(45x^4 - 12x^2\)

Find the derivative: \(f(x) = \dfrac{1}{x^5} - \dfrac{2}{\sqrt{x}} + 2\)

Find the derivative: \(f(x) = x^3 + x^7\)

Find the derivative: \(f(x) = x + \sqrt{x}\)

Find the derivative: \(f(x) = 3x^{10} - 5x^{-4}\)

Find the derivative: \(f(x) = x^{1 / 3} - x^{-1} + 3x - 7\)

Find the derivative: \(f(x) = 5x^2 + \dfrac{1}{x} - \dfrac{6}{\sqrt{x}}\)