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V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- Differentiate w.r.t. x, the following functions: (i) sqrt(3 x+2)+1/(s...
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- Differentiate the following w.r.t. x (i) cos ^(-1)(sin x) (if) tan ^...
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- Find f'(x) if f(x)=(sin x)^(sin x) for all 0ltxltpi
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- For a positive constant a find (dy/dx), where y=a^(t+1/t), and x=(t+1/...
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- Differentiate sin ^2 x w.r.t e^(cos x)
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- Differentiate w.r.t x the function (3 x^2-9 x+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 (5 x)^(3 cos 2 x)
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- Differentiate w.r.t x the function sin ^(-1)(x sqrt(x)), 0 le x le 1
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- Differentiate w.r.t x the function cos ^(-1)(x/2)/(sqrt(2 x+7))
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- Differentiate w.r.t x the functions cot ^(-1)[(sqrt(1+sin x)+sqrt(1-si...
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- Differentiate w.r.t x the function (log x)^(log x), x>1
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- Differentiate w.r.t x the function cos (a cos x+b sin x), for some co...
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- Differentiate w.r.t x the function (sin x-cos x)^((sin x-cos x))
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- Differentiate the following w.r.t.x x^x+x^a+a^x+a^a for some fixed agt...
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- Differentiate w.r.t x the function x^(x^2-3)+(x-3)^(x^2), for x>3
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- Find dy/dx,if y=12(1-cost),x=10(t-sint).pi/2lttltpi/2
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- Find (dy/dx), if y=sin ^(-1) x+sin ^(-1) sqrt(1-x^2),-1 le x le 1
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- if x sqrt(1+y)+ysqrt(1+x)=0 prove that (dy/dx)=-1/(1+x)^2
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- if (x-a)^2+(y-b)^2=c^2, for some c>0 prove that [1+(dy/dx)^2]^(3/2) /(...
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