Final answer:
The derivative of the given function f(x) = x⁴ - 7x is f'(x) = 4x³ - 7.
Step-by-step explanation:
To find the derivative of the function f(x) = x⁴ - 7x, we use the power rule for differentiation. According to this rule, the derivative of x^n is n * x^(n-1), where n is a constant. Applying this rule to our function, we get f'(x) = 4x³ - 7. Therefore, the derivative of f(x) = x⁴ - 7x is f'(x) = 4x³ - 7.