It sin t, then find By at t=5 Let f...
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It sin t, then find By at t=5 Let f (x) = sin x, g (X) = x, h (x) = loge X. If u (x) = h (f (g(x))), then prove that ays du 2 = 2 cotx2 - 4x2 cosec2x2. 8. If x = ey+eY..then dy is

JEE/Engineering Exams
Maths
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( begin{aligned} h(f(g(n))&=hleft(sin x^{2}right)=ln sin x^{2} cdot 2 x therefore frac{d v}{d x} &=frac{2 x cos x^{2}}{sin x^{2}} therefore frac{d^{2} v}{d x^{2}} &=sin x^{2}left(2 cos ^{2}+sin ^{2} sin x^{2}right) &=frac{sin ^{2} x^{2}}{-4 x^{2} cos ^{2} cos ^{2} x^{2}} &=2 sin ^{2} x^{2}-4 x^{2} operatorname{cosec}^{2} x^{2} sin ^{2} x^{2}-4 x^{2} cos ^{2} x^{2} end{aligned} )
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