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Find the derivatives of the following fu...

Find the derivatives of the following function.
`tan(e^(x))`

Text Solution

Verified by Experts

The correct Answer is:
`=e^(x)sec^(2)(e^(x))`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIATION-Exercise-9(b)
  1. Find the derivative of w.r.to x (cot x) ^(n)

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  2. Find the derivative of w.r.to x cosec ^(4)x

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  3. Find the derivatives of the following function. tan(e^(x))

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  4. Evaluate the following inegrals int(1-cos2x)/(1+cos2x)dx

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  5. Find the derivatives of the following function. sin^(m)xcos^(n)x

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  6. Find the derivatives of the following function. sin mx.cos nx

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  7. Find the derivatives of the function x tan ^(-1) x

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  8. Find the derivatives of the function sin ^(-1) (cos x )

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  9. Find the derivatives of the following function. log(tan 5x)

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  10. Find the derivatives of the following function. sinh^(-1)((3x)/(4))

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  11. Find the derivatives of the function tan ^(-1) (log x)

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  12. Find the derivative of log((x^(2)+x+2)/(x^(2)-x+2)) w.r.to x.

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  13. Find the derivatives of the following function. log(sin^(-1)(e^(x))

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  14. Find the derivative of the function sin ^(2) x (sin ^(-1) x ) ^(2)

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  15. Find the derivative of y=(cosx)/(sinx+cosx).

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  16. Find the derivatives of the following function. (x(l+x^(2)))/(sqrt(l...

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  17. Differentiate the following w.r.t. x : e^(sin^(-1)x)

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  18. Find the derivatives of the following function. y=cos(logx+e^(x))

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  19. Find the derivatives of the following function. y=(sin(x+a))/(cosx)

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  20. Find the derivatives of the function cot ^(-1) (cosec 3x )

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