Question

how the cancellation takes place plz explain in detail with answer​

Answer 1

To find---> Derivative of

y = log { ( x² + x + 1 ) / ( x² - x + 1 ) }

Solution---> 1) Plzzz refer the attachment

2) First we apply the rule of log

log ( m / n ) = logm - logn

3) Then , Differentiating with respect to x , applying formula of differentiation as follows,

a) d / dx ( log x ) = 1 / x

b) d / dx ( xⁿ ) = n xⁿ⁻¹

4) Then taking LCM , ( x² - x + 1 ) ( x² + x + 1 )

5) Then applying formula , a² - b² = ( a + b ) ( a - b ) in denominator

6) Then applying formula,

( a + b )² = a² + b² + 2ab

7) Then we get , answer

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