Find the derivative of f(x) = x3 * sin(x) using the product rule.

June 4, 2026Mathematics

ScanSolve AI Answer

June 4, 2026

The derivative of $f(x) = x^3 \sin(x)$ using the product rule is $f'(x) = 3x^2 \sin(x) + x^3 \cos(x)$ .

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Quick Answer

The derivative of f(x) = x^3 (x) using the product rule is f'(x) = 3x^2 (x) + x^3 (x).

Asked on June 4, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 4, 2026

The derivative of f(x) = x^3 (x) using the product rule is f'(x) = 3x^2 (x) + x^3 (x).