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Differentiate the following w.r.t. x: s...

Differentiate the following w.r.t. `x: sin^(-1) (2 cos^2 x -1)`

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CHETANA PUBLICATION-Differentiation-Exercise
  1. Differentiate the following w.r.t x: cos^(-1) (2^x)

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  2. Differentiate the following w.r.t. x: cot^(-1) (frac{1}{x})

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  3. Differentiate the following w.r.t. x: sin^(-1) (2 cos^2 x -1)

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  4. Differentiate the following w.r.t. x: cosec^(-1) frac{1}{3x- 4 x^3}

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  5. Differentiate the following w.r.t. x: sin^(-1) (frac{a sin x + b cos ...

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  6. Differentiate the following w.r.t. x: tan^(-1) (frac{6x}{1+ 16 x^2})

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  7. Differentiate the following w.r.t. x: e^(3x) sin^2 x log x

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  8. Differentiate the following w.r.t. x: (x+1)^(3/2) (2x+3)^(5/2) (3x+4)^...

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  9. Differentiate the following w.r.t. x: x^x + a^a

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  10. Differentiate the following w.r.t. x: (sin x)^(tan x)

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  11. Find dy/dx if, x^2 + e^(xy) = y^2 + log(x+y)

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  12. Find dy/dx if, e^(2x) + e^(2y) = e^(2(x+y))

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  13. If y=1+ xe^y , then show that dy/dx =frac{e^y}{2-y}

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  14. If y=log((1-x^2)/(1+x^2)), then (dy)/(dx) is equal to

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  15. If sqrt (1-x^2) + sqrt (1-y^2) = a(x-y), then show that dy/dx = sqrt...

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  16. Differentiate sin(x^2 +x) w.r.t. x

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  17. Find dy/dx if : x= 3 costheta - 2cos^3theta, y= 3 sintheta - 2sin^3the...

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  18. Find dy/dx if: x= a(t-(1/t)), y=a(t+(1/t))

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  19. Find dy/dx if: x= 2at^2, y= at^4

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  20. Find dy/dx if: x= a(cos t + log tan (t/2)), y= a sin t

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