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Differentiate tan(e^(sinx)) with respect...

Differentiate `tan(e^(sinx))` with respect to `x` :

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`y=tan (e^{sin x}) `

`frac{d y}{d x}=sec ^{2}(e^{sin x}) times e^{sin x} times cos x`

`frac{d y}{d x}=sec ^{2}(e^{sin x}) cdot e^{sin x} cos x`
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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate log((sinx)/(1+cosx)) with respect to x :

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  2. Differentiate logsqrt((1-cosx)/(1+cosx)) with respect to x :

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  3. Differentiate tan(e^(sinx)) with respect to x :

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  4. Differentiate log(x+sqrt(x^2+1)) with respect to x :

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  5. Differentiate (e^xlogx)/(x^2) with respect to x :

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  6. Differentiate log(cos e c\ x-cotx) with respect to x :

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  7. Differentiate (e^(2x)+e^(-2x))/(e^(2x)-e^(-2x)) with respect to x .

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  8. Differentiate log((x^2+x+1)/(x^2-x+1)) with respect to x .

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  9. Differentiate tan^(-1)(e^x) with respect to x :

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  10. Differentiate: e^(sin^(-1) \ 2x) with respect to x .

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  11. Differentiate sin(2\ sin^(-1)x) with respect to x :

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  12. Differentiate e^(tan^(-1)sqrt(x)) with respect to x .

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  13. Differentiate sqrt(tan^(-1)(x/2)) with respect to x :

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  14. Differentiate log(tan^(-1)x) with respect to x :

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  15. Differentiate the following functions with respect to (2^xcosx)/((x...

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  16. Differentiate xsin2x+5^x+k^k+(t a n^2x)^3 with respect to x :

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  17. Differentiate log(3x+2)-x^2log(2x-1) with respect to x :

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  18. Differentiate sin^2{log(2x+3)} with respect to x :

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  19. Differentiate e^x \ logsin2x with respect to x .

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  20. Differentiate (sqrt(x^2+1)+sqrt(x^2-1))/(sqrt(x^2+1)-sqrt(x^2-1)) with...

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