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If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+...

If `y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x))`,then `(dy)/(dx)`is equal to (a)`(a y)/(xsqrt(a^2-x^2))` (b) `(a y)/(sqrt(a^2-x^2))` (c)`(a y)/(xsqrt(a^2-x^2))` (d) none of these

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. f(x)=e^x-e^(-x) then find f'(x)

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  2. Find (dy)/(dx) for the function: y=sqrt(sinsqrt(x))

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  3. If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),then (dy)/(dx)is eq...

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  4. Find (dy)/(dx) for the function: y=e^x + cos x

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  5. Find (dy)/(dx) for the function: y=x^3 + e^(2x)

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  6. Find (dy)/(dx) for the function: y=logsqrt(sinsqrt(e^x))

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  7. Let g(x) be the inverse of an invertible function f(x), which is dif...

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  8. Find (dy)/(dx) for the function: y= x^(1/2) + Sin 2x

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  9. Find (dy)/(dx) for the function: y= Sin 5x

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  10. Differentiate the function f(x)=x^99 with respect to xdot

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  11. If f(x)=x+tanx and g(x) is the inverse of f(x), then differentiatio...

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  12. Find (dy)/(dx) for y=cos 55x

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  13. Find (dy)/(dx) for y=e^(6x)

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  14. Let f: R → R be a one-one onto differentiable function, such that f(2)...

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  15. If '' (x)=-f(x) and g(x)=-f'(x) and F(x)=(f(x/2))^2 + (g(x/2))^2 and ...

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  16. Find (dy)/(dx) for the function: y=sin 4x - (1/x^4)

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  17. Find (dy)/(dx) for the function: y=sin 2x - x^4 + e^(-3x)

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  18. If x=acostheta,y=bsintheta, then prove that (d^3y)/(dx^3)= -(3b)/(a^3)...

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  19. If y=xlog"{"x/((a+b x))"}" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...

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  20. A function f: R->R satisfies the equation f(x+y)=f(x)f(y) for all...

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