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Find the derivative of f(x) w.r.t x in t...

Find the derivative of f(x) w.r.t x in the following:
`f(x) = root3 (2x^4+x^2-x)`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find the derivative of y w.r.t x in each of the following: y^2=4ax

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  2. Find the derivative of y w.r.t x in each of the following: y=(4)/(3)...

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  3. Find the derivative of f(x) w.r.t x in the following: f(x) = root3 (...

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  4. Find the derivative of f(x) w.r.t x in the following: f(x) = root3(a...

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  5. Find the derivative of f(x) w.r.t x in the following: f(x) = (x^2+x+...

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  6. Find the derivative of f(x) w.r.t x in the following: g(x) = root3(5...

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  7. Obtain dy/dx when: x^2+y^2+2axy=0

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  8. Obtain dy/dx when: x^3+y^3+3axy=0

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  9. Obtain dy/dx when: x^2+y^2+2gx+2fy+c=0

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  10. Obtain dy/dx when: x^4+y^4+4xy-100=0

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  11. If xsqrt(1+y) + ysqrt(1+x) = 0 for x lies between -1 and 1 prove that ...

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  12. If y=sqrtx+1/(sqrtx), then show that 2x(dy)/(dx)+y = 2√ x

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  13. Find dy/dx for each of the following: y = (x^2+3x+5)(x^2-2)^2

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  14. Find dy/dx for each of the following: y=(sqrtx+1/sqrtx)(1+x+x^2)

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  15. Find dy/dx for each of the following: y=((x-sqrtx)/(1-2x))^2

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  16. Find dy/dx for each of the following: y=(1/(1+x))(x^-2+2/x-1)+root3(...

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  17. Find dy/dx for each of the following: y=root3(x^2(x^2+3))

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  18. If cosy = xcos(a+y), with cos a ne +-1, prove that dy/dx = (cos^2(a+y...

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  19. If sin y = x sin (a+y), then show that: dy/dx=(sina)/(1-2xcosa+x^2)

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  20. Differentiate the following w.r.t. x: tan^-1sqrtx

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