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Differentiate the following functions wi...

Differentiate the following functions with respect to x. (i) `x^(2//3)+7e^x-(5)/(x)+7tanx` (ii) `log {tan((pi)/(4)+(x)/(2))}`
(iii) `(sinx-cosx)/(sinx+cosx)`
(iv) `tan(tan^(-1)sqrt((1-cosx)/(1+cosx)))`

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The correct Answer is:
A, B, C
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Differentiate the following functions with respect to x.x^((2)/(3))+7e-(5)/(x)+7tan x (ii) x^(2)*ln x*e^(x)ln tan((pi)/(4)+(x)/(2))( iv )(sin x-x cos x)/(x sin x+cos x)tan(tan^(-1)sqrt((1-cos x)/(1+cos x))),0

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Knowledge Check

  • (d)/(dx)[tan^(-1)((sinx)/(1+cosx))]=

    A
    1
    B
    `(1)/(2)`
    C
    `-(1)/(2)`
    D
    `-1`

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