Find the derivative of f(x) = 4x³ - 5x + 7
Direct Answer: Power Rule Differentiation is defined by: 12x^2-5. d/dx[xⁿ] = n·xⁿ⁻¹. For 4x³: 4(3x²) = 12x². For -5x: -5. The constant 7 vanishes.
Detailed Step-by-Step Explanation:
d/dx[xⁿ] = n·xⁿ⁻¹. For 4x³: 4(3x²) = 12x². For -5x: -5. The constant 7 vanishes.