If y= |(f(x),g(x),h(x)),(l,m,n),(a,b,c)|...

If `y= |(f(x),g(x),h(x)),(l,m,n),(a,b,c)|`, prove that `(dy)/(dx)= |(f'(x),g'(x),h'(x)),(l,m,n),(a,b,c)|`

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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Miscellaneous Exercise - 5

Using the fact that sin (A +B) = sin A.cos B+ cos A sin B and the diff...
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Does there exist a function which is continuous everywhere but not dif...
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If y= |(f(x),g(x),h(x)),(l,m,n),(a,b,c)|, prove that (dy)/(dx)= |(f'(x...
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If y = e^(a cos^(-1)x) show that (1-x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(d...
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Differentiate w.r.t x the function (3x^(2)-9x + 5)^(9)
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Differentiate w.r.t x the function sin^(3) x + cos^(6)x
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Differentiate w.r.t x the function (5x)^(3 cos 2x)
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Differentiate w.r.t x the function sin^(-1) (x sqrtx), where 0 le x le...
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Differentiate w.r.t x the function ("cos"^(-1) (x)/(2))/(sqrt(2x + 7))...
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Differentiate w.r.t x the function 0 lt x lt (pi)/(2), cot^(-1) [(sqrt...
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Differentiate w.r.t x the function (log x)^(log x), x gt 1
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Differentiate w.r.t x the function cos (a cos x + b sin x), for some c...
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Differentiate w.r.t x the function (pi)/(4) lt x lt (3pi)/(4), (sin x ...
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Differentiate w.r.t x the function x^(x) + x^(a) + a^(x) + a^(a), for ...
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Differentiate w.r.t x the function x^(x^(2)-3) + (x-3)^(x^(2)), for x ...
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Find (dy)/(dx), if y= 12(1- cos t), x= 10 (t- sin t), -(pi)/(2) lt t l...
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Find (dy)/(dx), If y= sin^(-1) x + sin^(-1) sqrt(1 -x^(2)), 0 le x le ...
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If x sqrt(1 + y) + ysqrt(1 + x)= 0, for -1 lt x lt 1, prove that (dy)/...
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If (x-a)^(2) + (y-b)^(2) = c^(2), for some c gt 0, prove that ([1 + ((...
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If cos y= x cos (a + y), with cos a ne +- 1, prove that (dy)/(dx) = (c...
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