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If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then ...

If `y=(sin^(-1)x)^2+(cos^(-1)x)^2` , then `(1-x^2)` `(d^2y)/(dx^2)-x(dy)/(dx)` is equal to 4 (b) 3 (c) 1 (d) 0

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RESONANCE DPP ENGLISH-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let g(x)=log(e)f(x) where f(x) is twice differentiable positive functi...

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  2. Let f:""(1,""1)vecR be a differentiable function with f(0)""=""-1""a...

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  3. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

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  4. Statement-1 Let f:[0,oo)vec[0,oo) be a function defined by y=f(x)=x^2,...

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  5. If f(x),g(x)a n dh(x) are three polynomial of degree 2, then prove t...

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  6. Let f(x) be a polynomial.Then, the second order derivative of f(e^x) i...

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  7. about to only mathematics

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  8. If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...

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  9. fn(x)=e^(f(n-1)(x)) for all n in Na n df0(x)=x ,t h e n d/(dx){fn(x)}...

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  10. (d^2x)/(dy^2) equals: ((d^2y)/(dx^2))^(-1) (b) -((d^2y)/(dx^2))^(-1)(...

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  11. y=tan^(-1)""(4x)/(1+5x^(2))+tan^(-1)""(2+3x)/(3-2x)

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  12. If f (x) =lim (x to oo) x ((3)/(2) + [cos x)(sqrt(n^(2) +1)-sqrt(n ^(2...

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  13. If g(x)=(2h(x)+|h(x)|)/(2h(x)-|h(x)|) where h(x)=sinx-sin^n x ,n in R...

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  14. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

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  15. If If {:(" ""x"),(y=""),(" ""x"),(" ""a+")...

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  16. Find the sum of the series 1+2x+3x^2+(n-1)x^(n-2) using differentiatio...

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  17. If y=a^x^a^x^...^(((((oo))))) , then prove that (dy)/(dx)=(y^2(log)e ...

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  18. Let f(x)={s in2x ,0<xlt=pi//6a x+b ,pi//6<x<1 . If f(x)a n df^(prime)(...

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  19. If f is twice differentiable such that f''(x)=-f(x), f'(x)=g(x), h'(x...

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  20. Find (dy)/(dx) : x=a{cost+1/2logt a n^2t/2} and y=asint .

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