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Find the differentiation of (e^(2x)+e^(-...

Find the differentiation of `(e^(2x)+e^(-2x))/(e^(2x)-e^(-2x))` w.r.t. `\ x`

A

`(-8)/(e^(2x)-e^(-2x))^2`

B

`(8)/(e^(2x)-e^(-2x))^2`

C

`(-4)/(e^(2x)-e^(-2x))^2`

D

`(4)/(e^(2x)-e^(-2x))^2`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
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  2. d/(dx)(e^sqrt(1-x^2).tanx)=

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  3. Find the differentiation of (e^(2x)+e^(-2x))/(e^(2x)-e^(-2x)) w.r.t. \...

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  4. if y=logx*e^((tanx+x^(2))), then (dy)/(dx) is equal to

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  5. Let F(x)=e^x,G(x)=e^(-x) " and " H(x)=G(F(x)), where x is a real varia...

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  6. let f(x)=e^x ,g(x)=sin^(- 1) x and h(x)=f(g(x)) t h e n f i n d (h^(pr...

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  7. If f(x)=(1)/(1-x), then the derivative of the composite function f[f{f...

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  8. If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2), then (dy)/(dx) is equal ...

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  9. If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)), then ...

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  10. Let f : (-1,1) to R be a differentiabale function with f(0) = -1 and f...

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  11. given y=(5x)/(3*sqrt(1-x)^2)+cos^2(2x+1),find dy/dx

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  12. If y = f(x^(2) + 2) " and " f'(3) = 5 , " then" dy/dx " at x " = 1 is

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  13. If f (x) = log(x) (log x), then f'(x) at x = e is …….. .

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  14. If f(x)=sqrt(1+cos^2(x^2)),thenf'(sqrtpi/2) is

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  15. If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4)...

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  16. d/(dx)tan^-1((1-x)/(1+x))=

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  17. If y =tan ^(-1) ((sqrt( a) -sqrt(x)) /( 1+sqrt( ax)) ) ,then (dy)/(dx)...

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  18. If y=tan^(-1)[(sinx-cosx)/(cosx-sinx)] then (dy)/(dx) is

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  19. If y= tan ^(-1) ((acos x -bsin x )/( bcos x+asin x ) ) ,then (dy)/(dx...

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  20. यदि y= sec tan ^(-1) x, तब (dy)/(dx) =

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