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If y=(1+tanx)/(1-tanx), then value of (d...

If `y=(1+tanx)/(1-tanx)`, then value of `(dy)/(dx)` is:

A

`sec^2(pi/4+x)`

B

`cos^2(pi/4+x)`

C

1

D

None of these

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JBD PUBLICATION-LIMITS AND DERIVATIVES-EXAMPLE
  1. If y=(1+tanx)/(1-tanx), then value of (dy)/(dx) is:

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  2. Find the derivative of (sinx)/(1+cosx) with respect to x.

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  3. Find the derivative of cosx from first principle.

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  4. Find the derivative of (sinx + cosx)/(sinx - cosx)

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  5. underset(xrarr0)lim (sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^2)+sqrt(1+x))

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  6. Find k, so that underset(xrarr2)lim f(x) may exist, where f(x)={(x^2+1...

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  7. Suppose f(x) = {:(a+bx,xlt1),(4,x=1),(b-ax,xgt1):} and if underset(x ...

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  8. Evaluate underset(x rarr 0)lim(sin ax+bx)/(ax+sin bx)

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  9. Evaluateunderset(xrarr0)lim (e^(ax)-1)/(e^(bx)-1).

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  10. Find the derivative of the folloiwng functions: (x-1)(x-2).

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  11. Find the derivative of 1/sqrt(3x+1) at x=2.

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  12. Find the derivative of the folloiwng: (5x^3+3x-1)(x-1).

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  13. Find the derivative of the folloiwng: x^-4(3-4x^-5)

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  14. Differentiate the following functions w.r.t. x (x+2)

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  15. Find the derivative of (x^2-3x)

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  16. Evaluate underset(x rarr 2)lim (3x^(2)-x-10)/(x^(2)-4)

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  17. Evaluate: underset(xrarra)lim ((x+2)^(5/3)-(a+2)^(5/3))/(x-a).

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  18. Evaluate underset(zto1)(lim)(z^(1//3)-1)/(z^(1//6)-1)

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  19. underset(xrarr0)lim (1-cos mx)/(1-cos nx).

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  20. Evaluate underset(xrarr0)lim (2^(x+3)-8)/(x).

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  21. underset(x rarr 0) lim(e^(4x-1)/(x))

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