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Differentiate the following functions wi...

Differentiate the following functions with respect to x. `cos(sinx)`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find all the points of discontinuity of f defined by f(x) = |x|-|x+1|

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  2. Differentiate the following functions with respect to x. sin(x^3 + 5x)

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  3. Differentiate the following functions with respect to x. cos(sinx)

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  4. Differentiate the following functions with respect to x. sin (a x + ...

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  5. Differentiate the functions with respect to x: sec(tan(sqrtx))

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  6. Differentiate the functions with respect to x: (sin(ax+b))/(cos(cx+d))

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  7. Differentiate the functions with respect to x: cos x^3 cdot sin^2 (x^5...

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  8. Differentiate the following functions with respect to x. 2sqrt(cot (...

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  9. Differentiate the functions with respect to x cos(sqrtx)

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  10. Prove that the function f given by : f(x) = |x-1|, x in R is not diffe...

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  11. Prove that f(x) = [x], 0 lt x lt 3 is not differentiable at x = 1 but ...

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  12. Find dy/dx in the following: 2x+3y = sinx

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  13. Find dy/dx in the following : 2x +3y = sin y

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  14. Find dy/dx in the following: ax + by^2 = cos y

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  15. Find dy/dx in the following: xy+y^2= tanx +y

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  16. Find dy/dx in the following: x^2 + xy + y^2 = 100

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  17. Find dy/dx in the following: x^3 +x^2y + xy^2 + y^3 = 81

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  18. Find dy/dx in the following: sin^2y + cos xy = pi

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  19. Find (dy)/(dx), if sin^2 x + cos^2 y = 1

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  20. Find (dy)/(dx) in the following: y = sin^(-1)((2x)/(1 + x^2))

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