Final answer:
To find the derivative of the function f(x) = 3x⁴ - 4x² + 7, use the power rule for differentiation. The derivative is 12x³ - 8x.
Step-by-step explanation:
To find the derivative of the function f(x) = 3x⁴ - 4x² + 7, we need to use the power rule for differentiation. The power rule states that if we have a term of the form axⁿ, then the derivative is given by nxⁿ⁻¹.
Applying the power rule, we can find the derivative of each term in the function. The derivative of 3x⁴ is 12x³, the derivative of -4x² is -8x, and the derivative of 7 is 0. Therefore, the derivative of f(x) is f'(x) = 12x³ - 8x.