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Differentiate (x^(2)-5x + 8) (x^(3) + 7x...

Differentiate `(x^(2)-5x + 8) (x^(3) + 7x + 9)` in three ways mentioned below:
By logarithmic differentiation.
Do they all give the same answer?

Text Solution

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The correct Answer is:
`5x^(4)- 20x^(3) + 45x^(2)- 52x + 11`
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.5
  1. Differentiate (x^(2)-5x + 8) (x^(3) + 7x + 9) By using product ru...

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  2. Differentiate (x^(2)-5x + 8) (x^(3) + 7x + 9) in three ways mentioned ...

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  3. Differentiate (x^(2)-5x + 8) (x^(3) + 7x + 9) in three ways mentioned ...

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  4. If u, v and w are functions of x, then show that (d)/(dx) (u.v.w) = (d...

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  5. If u, v and w are functions of x, then show that (d)/(dx) (u.v.w) = (d...

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  6. Differentiate the functions cos x.cos 2x. Cos 3x

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  7. Differentiate the functions sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5)))

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  8. Differentiate the functions (log x)^(cos x)

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  9. Differentiate the functions x^(x)-2^(sin x)

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  10. Differentiate the functions (x+ 3)^(2).(x+ 4)^(3).(x+ 5)^(4)

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  11. Differentiate the functions (x + (1)/(x))^(x) + x^((1 + (1)/(x)))

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  12. Differentiate the functions (log x)^(x) + x^(log x)

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  13. Differentiate the functions (sin x)^(x) + sin^(-1) sqrtx

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  14. Differentiate the functions x^(sin x) + (sin x)^(cos x)

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  15. Differentiate the functions x^(x cos x) + (x^(2) + 1)/(x^(2)-1)

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  16. Differentiate the functions (x cos x)^(x) + (x sin x)^((1)/(x))

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  17. Find (dy)/(dx) of the functions x^(y) + y^(x)=1

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  18. Find (dy)/(dx) of the functions y^(x)= x^(y)

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  19. Find (dy)/(dx) of the functions (cos x)^(y)= (cos y)^(x)

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  20. Find (dy)/(dx) of the functions given in Exercises 12 to 15. xy= e^(...

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