Differentiate the function f(x)?

f(x)=

___( 4x-3 )___ ^5

( x^2 + 2)

the fraction as a whole is in parenthesis to the fifth power

Please help if you can, explanations are very much welcome. Thanks!

Top 1 Answers

A few days ago

Eric212

Favorite Answer

f(x) =

( (4x-3)/(x^2+2) ) ^5

let u= (4x-3)/(x^2+2)

f(x) = u^5

f'(x)=5u^4 (du/dx) = 5u^4 u’

u’ = d( (4x-3)/(x^2+2) )/dx

the fraction is just another u/v term to differentiate.

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