Answered

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If f ( x ) = 4 ln ( x ) 12 x , find f ' ( x ) .

Sagot :

Luv2Teach

Answer:

Step-by-step explanation:

This looks to me as if it is the multiplication of 2 functions which requires the product rule. What I'm seeing is:

[tex]f(x)=4ln(x)*12x[/tex]  If this is not correct, please be more clear on what your function is.

[tex]f'(x)=4ln(x)*\frac{d}{dx}(12x)+12x*\frac{d}{dx}(4ln(x))[/tex]

[tex]f'(x)=4ln(x)*12+12x*\frac{4}{x}[/tex]

[tex]f'(x)=48ln(x)+48[/tex] or

[tex]f'(x)=48(ln(x)+1)[/tex]

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