Math, asked by shanaya123196, 5 hours ago

what is differentiation of e^xcosx ( cosx - xsinx )
please explain step by step​

Answers

Answered by sandy1816
1

y =  {e}^{x} cosx(cosx - sinx) \\  \\  \frac{dy}{dx}  =  {e}^{x} cosx \frac{d}{dx} (cosx - sinx) + \\   {e}^{x} (cosx - sinx) \frac{d}{dx} cosx +  \\ cosx(cosx - sinx) \frac{d}{dx}  {e}^{x}  \\  \\  \frac{dy}{dx}  =  {e}^{x} cosx( - sinx - cosx) +  \\  {e}^{x} (cosx - sinx)( - sinx) +  \\ cosx(cosx - sinx) {e}^{x}  \\  \\  \frac{dy}{dx}  =  -  {e}^{x} cosx(cosx + sinx) \\  +  {e}^{x} (cosx - sinx)( - sinx + cosx) \\  \\  \frac{dy}{dx}  =  -  {e}^{x} cosx(cosx  +  sinx) +  \\  {e}^{x} ( {cosx - sinx})^{2}

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