Differentiate. - Find f'(t) for f(x) = (3x - 3) (3x³ - x² + 1) A) f'(x) = 27x³ + 36x² - 12x + 3 B) f'(x) = 9x³ + 12x² - 36x + 3 C) f'(x) = 36x³ - 36x² + 6x + 3 D) f'(x) = 36x³ - 12x² + 36x + 3

Question

Quizplus · Accepted Answer

We use the product rule to differentiate f(x): f'(x) = (3x³ - x² + 1)*d/dx(3x - 3) + (3x - 3)*d/dx(3x³ - x² + 1) = (3x³ - x² + 1)*(3) + (3x - 3)*(9x² - 1) = 36x³ - 36x² + 6x + 3 Thus, the correct answer is (C).

Differentiate. - Find F'(t) for F(x) = (3x - 3) (3x3

Differentiate. - Find F'(t) for F(x) = (3x - 3) (3x³