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Author: QED
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English[en]
So the chain rule tells us that this derivative is going to be the derivative of our whole function with respect, or the derivative of this outer function, x squared, the derivative of x squared, the derivative of this outer function with respect to sine of x, so that is going to be two sine of x - two sine of x - so we can view it as the derivative of the outer function with respect to the inner, two sine of x, we can just treat sine of x like it's kind of an " x " and it would have been two x, but instead it's a sine of x.
Swedish[sv]
Så det kedjeregeln säger oss är att derivatan kommer att bli derivatan av hela vår yttre funktion med avseende, eller derivatan av den här yttre funktionen, x kvadrat, derivatan av x kvadrat, derivatan av den här yttre funktionen med avseende på sin av x.