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Differentiate the following w.r.t x ta...

Differentiate the following w.r.t x
`tan^(-1) ((cos x - sin x)/(cos x + sin x))`

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To differentiate the function \( y = \tan^{-1} \left( \frac{\cos x - \sin x}{\cos x + \sin x} \right) \) with respect to \( x \), we will proceed step by step. ### Step 1: Simplify the Expression We start with the expression: \[ y = \tan^{-1} \left( \frac{\cos x - \sin x}{\cos x + \sin x} \right) \] ...
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Differentiate the following w.r.t x sin^(-1)(2x//1+x^(2))

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

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  3. Differentiate the following w.r.t x tan^(-1) ((cos x - sin x)/(cos x...

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  4. Find (dy)/(dx) " if " sin x + cos y = xy "

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  5. Differentiate w.r.t x (sinx)^(x) +sin(x^(x))

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  6. Differentiate w.r.t x sqrt(x) (2x+3)^(2)//sqrt(x+1)

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  7. If x = a ( t+ sin t) and y = a (1- cos t) " find " (dy)/(dx)

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  8. Find (dy)/(dx) when x = a cos theta and y = b sin theta

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  9. Find (dy)/(dx) when x = a sec theta and y = b tan theta

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  10. Find the velocity of a particle moving on a line at t = 3 seconds , if...

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  11. Find the velocity of a particle moving on a line at t = 3 seconds , if...

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  12. At time t , the displacement of a particle moving in a straight line ...

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  13. A car is running on a straight road . The distance travelled and time...

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  14. The side of a square sheet of a metal is increasing at 3 cm per minut...

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  15. A stone is dropped into a quiet pond and waves move in circle at a s...

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  16. A particle starts rotating from rest according to the formula theta ...

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  17. The area of dot of ink in cm^(2) is growing such that after 5s , A = ...

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  18. A particle starts rotating from rest according to the formula theta = ...

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  19. Integrate the following w.r.t x sqrt(x)

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  20. Integrate the following w.r.t x 2//x^(3//2)

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