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Question
Solve the following problem.
Obtain a derivative of the following function: x sin x
Solution
Using, `"d"/"dx"["f"_1("x") xx "f"_2("x")] = "f"_1("x") ("df"_2("x"))/"dx" + ("df"_1("x"))/"dx" "f"_2("x")`
For f1(x) = x and f2(x) = sin x
`"d"/"dx" ("x sin x") = "x" ("d"(sin "x"))/"dx" + ("d"("x"))/"dx" sin"x"`
= x cos x + 1 × sin x
= sin x + x cos x
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