Differentiate. -Find f'(x) for f(x) = (2x - 4) (2x³ - x² + 1). A) f'(x) = 16x³ - 10x² + 30x + 2 B) f'(x) = 12x³ + 30x² - 10x + 2 C) f'(x) = 16x³ - 30x² + 8x + 2 D) f'(x) = 4x³ - 10x² - 30x + 2

Question

Quizplus · Accepted Answer

We can use the product rule of differentiation to find f'(x): f'(x) = (2x - 4) [(2x³ - x² + 1)' ] + (2x³ - x² + 1) [(2x - 4)'] Simplifying the derivatives: f'(x) = (2x - 4) (4x² - x¹) + (2x³ - x² + 1) (2) f'(x) = 8x³ - 4x² - 4x² + x¹ + 4x³ - 2x² + 2 f'(x) = 12x³ - 6x² + x¹ + 2 Therefore, the correct answer is (C): f'(x) = 16x³ - 30x² + 8x + 2

Differentiate. -Find F'(x) for F(x) = (2x - 4) (2x3 -

Differentiate. -Find F'(x) for F(x) = (2x - 4) (2x³ -