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  • Differentiate each of the functions w.r. to x in (x^2 cos⁡〖π/4〗)/sin⁡x

Differentiate each of the functions w.r. to x in

\frac{x^{2}\cos \frac{ \pi }{4}}{\sin x }

Answers (1)

  y=\frac{x^{2}\cos \frac{ \pi }{4}}{\sin x} \\ \\

 

    Applying division rule of differentiation that is

\\ \frac{dy}{dx}=\frac{\cos \frac{ \pi }{4} \left( \sin x\frac{d}{dx} \left( x^{2} \right) -x^{2}\frac{d}{dx} \left( \sin x \right) \right) }{\sin ^{2}x} \\ \\ =\frac{1}{\sqrt {2}} \left( \frac{2x\sin x-x^{2}\cos x}{\sin ^{2}x} \right) \\ \\

 


  

 

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infoexpert21

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