determine the derivative: g(x)=(5sqrtx+3x)^4

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g(x) = (5 √(x)+3x)^4

derivative of g(x) = 4 ( (5 √(x)+3x)^3 d / dx ( 5 √(x)+3x )

= 4 ( 5 √(x)+3x)^3 ( 5 d/dx( √(x)) + 3 d /dx ( x))

= 4 ( 5 √(x)+3x)^3 ( 5 / ( 2√x ) + 3 ).

= 4 ( (5 / ( 2√x )) + 3 ) ( 5 √(x)+3 x)^3 ..............................................ANSWER

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