What is the derivative of f(x) = x²·sin(x)?
- 2x·cos(x)
- x²·cos(x)
- 2x·sin(x) + x²·cos(x)
- None of these
Explanation
This is a product of two functions, so we apply the product rule:
Here,
-
, so
-
, so
Now apply the rule:
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- 2x = - 27
- 2x = 27
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