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Find the derivative of y w.r.t x in each...

Find the derivative of y w.r.t x in each of the following:
y(y+1)=x(x+1)(x+2)

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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: 1/x-1/y -...

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  2. Find the derivative of y w.r.t x in each of the following: sqrtx+sqr...

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  3. Find the derivative of y w.r.t x in each of the following: y(y+1)=x(...

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

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

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  6. Find the derivative of y w.r.t x in each of the following: y^2=4ax

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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