Please explain 1)Circle the two equations for which the use of logarithmic differentiation would be mostdyadvantageous for findingdxNo explanation needed. Just circle two equations.а)y = loga|cos x|%3Db)y = 52t + t4Vx-2c)y =(x4–1) (x+1)2xd)y + x = In ()x²+1,e)y = sin x*+1f)y = (x – 2)3 + (4x² – 1)(3x + 2)

Name: Please explain 1)Circle the two equations for which the use of logarit
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please explain 1)Circle the two equations for which the use of logarithmic differentiation would be mostdyadvantageous for findingdxNo explanation needed. Just circle two equations.а)y = loga|cos x|%3Db)y = 52t + t4Vx-2c)y =(x4–1) (x+1)2xd)y + x = In

We can differentiate the functions in options (a) and (b) directly by using standard formulas. So no need of logarithmic differentiation for the functions in options (a) and (b). c). y=x-2x4-1x+13 To differentiate this function directly, we need to use both product rule and quotient rule and composition of functions. So it is quite complex to differentiate directly. Hence logarithmic differentiation makes it easier to find the derivative dydx. d). y+x=ln2xx2+1⇒y+x=ln2x-lnx2+1 ∵lnxy=lnx-lny Now we can differentiate it directly by using standard formulas. Hence no need of logarithmic differentiation.e). y=sinxx+1 Since the given function consists the term xx+1, therefore we must use the logarithmic differentiation to find dydx. f). The given function can be differentiated after simplifying. Hence logarithmic differentiation is most advantageous for finding dydx for the functions in options (c) and (e).