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Differentiate w.r.t x the functions cot ...

Differentiate w.r.t x the functions `cot ^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]`

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V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Differentiate w.r.t x the function sin ^(-1)(x sqrt(x)), 0 le x le 1

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  2. Differentiate w.r.t x the function cos ^(-1)(x/2)/(sqrt(2 x+7))

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  3. Differentiate w.r.t x the functions cot ^(-1)[(sqrt(1+sin x)+sqrt(1-si...

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  4. Differentiate w.r.t x the function (log x)^(log x), x>1

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  5. Differentiate w.r.t x the function cos (a cos x+b sin x), for some co...

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  6. Differentiate w.r.t x the function (sin x-cos x)^((sin x-cos x))

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  7. Differentiate the following w.r.t.x x^x+x^a+a^x+a^a for some fixed agt...

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  8. Differentiate w.r.t x the function x^(x^2-3)+(x-3)^(x^2), for x>3

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  9. Find dy/dx,if y=12(1-cost),x=10(t-sint).pi/2lttltpi/2

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  10. Find (dy/dx), if y=sin ^(-1) x+sin ^(-1) sqrt(1-x^2),-1 le x le 1

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  11. if x sqrt(1+y)+ysqrt(1+x)=0 prove that (dy/dx)=-1/(1+x)^2

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  12. 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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  13. If cos y=x cos (a+y) prove that (dy/dx)=(cos ^2(a+y))/sina

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  14. If x=a(cos t+t sin t) and y=a(sin t-t cos t), find (d^2y)/(dx^2)

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  15. Using mathematical induction prove that d/(d x)(x^n)=n x^(n-1) for all...

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  16. Using the fact that sin (A+B)=sin A cos B+cos A sin B and the techniqu...

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  17. "All continuous function are not differentiable." Justify your answe...

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  18. If y=|[f(x), g(x), h(x)],[ l, m , n],[ a , b , c]| prove that (dy/...

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  19. If y=e^(acos^-1x) , then show that (1-x^2)y2-xy1-a^2y=0

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  20. Let y=(x+sqrt(1+x^2))^m i) Find (dy/dx) ii) Show that (1+x^2) (d^2 y...

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