Differentiate sin(x^2+5) w.r.t.x...

Differentiate `sin(x^2+5)` w.r.t.x

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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK

Show that the function f(x)=|cosx| is a continuous function.
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Find all the points of discontinuity of f defined by f(x)=|x|-|x+1|
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Differentiate sin(x^2+5) w.r.t.x
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Differentiate cos(sinx)w.r.t.x
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Differentiate sec(tan(sqrtx)) w.r.t.x
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Differentiate sin(ax+b)/(cos(cx+d)) w.r.t.x
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Differentiate cos(x^3)sin^2(x^5) w.r.t.x
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Differentiate 2sqrtcot(x^2) w.r.t.x
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Differentiate cos(sqrtx) w.r.t.x
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Differentiate the following w.r.t.x 2sin^-1x+tan^-1x+1
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Differentiate the following w.r.t.x xsin^-1x
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Differentiate the following w.r.t.x (tan^-1x)/x
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Differentiate the following w.r.t.x e^(mtan^-4x)
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Differentiate the following w.r.t.x sin^-1(x^3)
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Differentiate the following w.r.t.x (cot^-1x)^2
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Find (dy)/(dx) if x-y=pi
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Find (dy)/(dx) if y+siny=cosx
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If siny=xsin(a+y), find x in terms of y and hence find (dx)/(dy)
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If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)
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Find (dy)/(dx) if 2x+3y=sinx
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