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y=(sinx)^(tanx)+(cosx)^(secx)...

`y=(sinx)^(tanx)+(cosx)^(secx)`

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Verified by Experts

The correct Answer is:
`(sinx)^(tanx)[1+sec^(2)xlogsinx]+(cosx)^(secx)[-secxtanx+secxtanxlogcosx]`
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(i) (LONG ANSWER TYPE QUESTIONS (I))
  1. Differentiate the following w.r.t. x : x^(cosx)+(cosx)^(sinx)

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  2. Differentiate the following w.r.t. x : (sinx)^(cosx)+(cosx)^(sinx)

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  3. y=(sinx)^(tanx)+(cosx)^(secx)

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  4. Differentiate the following w.r.t. x : (logx)^(x)+(x)^(cosx)

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  5. Differentiate the following w.r.t. x : x^(sinx)+(logx)^(x)

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  6. Differentiate the following w.r.t. x : (x)^(sinx)+sin(x^(x))

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  7. Differentiate the following w.r.t. x : (x)^(x)+(sinx)^(x)

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  8. Differentiate the following w.r.t. x : (x)^(sinx)+(cosx)^(x)

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  9. Differentiate the following w.r.t. x : x^(sinx)+(sinx)^(cosx)

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  10. Differentiate the following w.r.t. x : (sinx)^(secx)+(tanx)^(cosx)

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  11. Differentiate the following w.r.t. x : (tanx)^(cotx)+x^(tanx),0ltxlt...

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  12. Differentiate the following w.r.t. x : x^(sinx)+(sinx)^(cosx)

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  13. Differentiate the following w.r.t. x : (sinx)^(x)+sin^(-1)sqrtx

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  14. Differentiate the following w.r.t. x:(logx)^x+x^(logx)

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  15. Differentiate the following w.r.t. x : (logx)^(cosx)+(x^(2)+1)/(x^(2...

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  16. Differentiate the following w.r.t. x:(xcosx)^x+(xsinx)^(1/x)

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  17. Differentiate the following w.r.t. x : (cosx)^(x)+(sinx)^(1//x)

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  18. y=e^(sinx)+(tanx)^(x)

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  19. Differentiate the following w.r.t. x : x^(x)-2^(sinx)

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  20. Differentiate the functions given w.r.t. x:(x+1/x)^x+x^((1+1/x))

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