Question

Find the derivative of f(x) = x⁸ using the Power Rule.

Options

• 7x⁷

• 8x⁷

• 8x⁸

• x⁷

Answer 1

8x⁷

Explanation:

Using the Power Rule, d/dx(xⁿ) = n·xⁿ⁻¹, so d/dx(x⁸) = 8·x⁽⁸⁻¹⁾ = 8x⁷.