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QuestionMathematics

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Answer

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Step 1
I will solve the following calculus problem:

Find the derivative of the function $$f(x) = x^3 \sin(x)$$.

Step 2
: Recall the product rule for differentiation.

In this case, let $$g(x) = x^3$$ and $$h(x) = \sin(x)$$.

Final Answer

The derivative of the function f(x) = x^3 \sin(x) is f'(x) = 3x^2 \sin(x) + x^3 \cos(x).