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Find (dy)/(dx) of the functions given in...

Find `(dy)/(dx)` of the functions given in Exercises 12 to 15.
`x^(y)+y^(x)=1`.

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The correct Answer is:
`-(yx^(y-1)+y^(x)log y)/(x^(y)log x+xy^(x-1))`
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NCERT TELUGU-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.5
  1. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. cos...

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  2. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. sqr...

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  3. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. (lo...

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  4. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. x^(...

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  5. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. (x+...

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  6. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. (x+...

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  7. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. (lo...

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  8. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. (si...

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  9. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. x^(...

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  10. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. x^x...

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  11. Differentiate the functions given in Exercises 1 to 11 w.r.t. x. (x ...

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  12. Find (dy)/(dx) of the functions given in Exercises 12 to 15. x^(y)+y...

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

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

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  15. Find (dy)/(dx) of the functions given . xy= e^((x-y)).

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  16. Find the derivative of the functions given by f(x)= (1+x)(1+x^(2))(1+x...

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  17. Differentiate (x^(2)-5x+8)(x^(3)+7x+9) by Using product rule

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

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