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Find derivative of the following functio...

Find derivative of the following functions: `(secx-1)/(secx+1)`

Text Solution

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Let `f(x)=(secx-1)/(secx+1)`
`=(1/cosx-1)/(1/cosx+1)=(1-cosx)/(1+cosx)`
Thus using quotient rule `f'(x)=`
`=((1+cosx)d/dx(1-cosx)-(1-cosx)d/dx(1+cosx))/(1+cosx)^2`
...
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NCERT ENGLISH-LIMITS AND DERIVATIVES-MISCELLANEOUS EXERCISE
  1. Find derivative of the following functions (it is to be understood th...

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  2. Find derivative of the following functions (it is to be understood th...

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  3. Find derivative of the following functions: (secx-1)/(secx+1)

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  4. Find derivative of the following functions (it is to be understood th...

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  5. Find derivative of the following functions (it is to be understood th...

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  6. Find derivative of the following functions (it is to be understood th...

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  19. Find derivative of the following functions (it is to be understood th...

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  20. Find derivative of the following functions: x/(1+tanx)

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