1.\frac{d}{dx} \left[ x^{\sin x} + (\sin x)^x \right] =a.xsinx[sinxx+cosxlogx]+(sinx)xx^{\sin x} \left[ \frac{\sin x}{x} + \cos x \log x \right] + (\sin x)^xxsinx[xsinx+cosxlogx]+(sinx)x xsinx[sinxx+sinxlogx]+(sinx)x[logcosx+xcotx]x^{\sin x} \left[ \frac{\sin x}{x} + \sin x \log x \right] + (\sin x)^x [\log \cos x + x \cot x]xsinx[xsinx+sinxlogx]+(sinx)x[logcosx+xcotx]b.xsinx[xtanx+cosxlogx]+(sinx)x{1log(sinx)}x^{\sin x} [x \tan x + \cos x \log x] + (\sin x)^x \left\{ \frac{1}{\log(\sin x)} \right\}xsinx[xtanx+cosxlogx]+(sinx)x{log(sinx)1}c.xsinx[xsinx+cosxlogx]+(sinx)x[cotx+log(sinx)]x^{\sin x} \left[ \frac{x}{\sin x} + \cos x \log x \right] + (\sin x)^x [\cot x + \log(\sin x)]xsinx[sinxx+cosxlogx]+(sinx)x[cotx+log(sinx)]d.xsinx[sinxx+sinxlogx]+(sinx)x{[cotx+log(cosx)]}x^{\sin x} \left[ \frac{\sin x}{x} + \sin x \log x \right] + (\sin x)^x \left\{ [\cot x + \log(\cos x)] \right\}xsinx[xsinx+sinxlogx]+(sinx)x{[cotx+log(cosx)]}Login to continueOnly logged in users canattempt or see the solution.
