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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If x= sqrt (a^(sin^(-1) t)) and y= sqrt (a^(cos^(-1) t)), then show th...

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  17. If x^2 + y^2 = t -(1/t) and x^4 + y^4 = t^2 + (1/ t^2), then show that...

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  18. If x= e^t (sin t - cos t), y= e^t (sin t + cos t), find dy/dx at t= pi...

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  19. Differentiate tan^(-1) (log t) w.r.t. log(sec^(-1) t)

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  20. Differentiate log(sec x + tan x) w.r.t. x

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