Pauletta423 Pauletta423
  • 28-08-2014
  • Mathematics
Answered

How do you use the product rule to find the derivative of y=x√⋅cos(x)y=sqrt(x)*cos(x) ?



Answer :

konrad509
konrad509 konrad509
  • 28-08-2014
[tex]y=\sqrt x\cos x\\ y'=(\sqrt x)'\cos x+\sqrt x (\cos x)'\\ y'=\frac{1}{2\sqrt x}\cos x+\sqrt x\cdot(-\sin x)\\ y'=\frac{1}{2\sqrt x}\cos x-\sqrt x\sin x\\ [/tex]
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