Find d/dx (x² sin x) by product rule:
A2x cos x
B2x sin x
Cx² cos x + 2x sin x
Dx² + sin x
Answer & Solution
Correct answer: C. x² cos x + 2x sin x
Product rule: (fg)' = f'g + fg'. With f = x², g = sin x: derivative = 2x × sin x + x² × cos x = 2x sin x + x² cos x.
Related questions
Two things this chain introduces beside continuity are differentiability and:Composites of continuous functions, by Theorem 2, are:A function that fails the limit test at a point is:To differentiate an implicit relation you use the:The function f(x) = |x| at x = 0 is continuous but not:For f(x) = 2x + 3 at x = 1, the limit and f(1) are both:An alternative to repeated product rule for many factors is:The chain rule can be extended to composites of: