Differentiate(i) xx x(ii) xsin x-cos x+x2-1x2+1(iii) xx cos x+x2+1x – InterviewSolution

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1.	Differentiate(i) xx x(ii) xsin x-cos x+x2-1x2+1(iii) xx cos x+x2+1x2-1(iv) x cos xx+x sin x1/x(v) x+1xx+x1+1x(vi) esin x+tan xx(vii) cos xx+sin x1/x(viii) xx2-3+x-3x2
Answer» Differentiate (i) $(x^{x}) \sqrt{x}$ (ii) $x^{(\sin x - \cos x)} + \frac{x^{2} - 1}{x^{2} + 1}$ (iii) $x^{x \cos x +} \frac{x^{2} + 1}{x^{2} - 1}$ (iv) ${(x \cos x)}^{x} + {(x \sin x)}^{1 / x}$ (v) ${(x + \frac{1}{x})}^{x} + x^{(1 + \frac{1}{x})}$ (vi) $e^{\sin x} + {(\tan x)}^{x}$ (vii) ${(\cos x)}^{x} + {(\sin x)}^{1 / x}$ (viii) $x^{x^{2} - 3} + {(x - 3)}^{x}^{2}$

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