Derivative of sin(x^2cos(x)) Homework Solution

[Torshi]

Homework Statement

Derivative of sin(x^2cos(x))

Homework Equations

Product rule and chain rule

The Attempt at a Solution

[cos(x^2cos(x)) * (2x)(cos(x)) + (x^2)(-sin(x))]

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[Karnage1993]

Your answer is very close. The (2x)(cos(x)) + (x^2)(-sin(x)) should be in brackets which is being multiplied by cos(x^2cos(x)). It should look like:

$cos(x^2cos(x))[(2x)cos(x) - x^2sin(x)]$