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Sine chain rule derivative sin(x^3), derivative of a function composition. #shorts
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Sine chain rule derivative sin(x^3), derivative of a function composition.
We differentiate sin(x^3) starting by differentiating with respect to the argument of the sine function, x^3, giving us cos(x^3). Then the chain rule requires us to tack on the derivative of x^3, giving us a final answer of 3x^2cos(x^3).