Hi. I need help with these questions (see image) Please show workings.

Question : Find the derivative with respect to x of each of the following:
(see image)

see explanation

Step-by-step explanation:

Note that x = lnx ( natural logarithm)

Using the standard derivatives

(lnx ) = , ( x ) =

Using the chain rule

Given y = f(g(x)) , then

= f'(g(x))) × g'(x) ← chain rule

(c)

y = (x² - 2) then

=  × (x² - 2)

    = × 2x

    =

(d)

y = ln( )

= × ( )

   = x × -

   = x ×

   = -

step-by-step explanation:

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step-by-step explanation:

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