Use the chain rule to find the derivative of ( f(x)=4√{5x¹⁰+3x⁹} ). Type your answer without fractional or negative exponents.
[ f'(x)= ]
a) ( {2(50x⁹+27x⁸)}/{√{5x¹⁰+3x⁹}} )
b) ( {2(50x⁹+27x⁸)}/{5x¹⁰+3x⁹} )
c) ( {2(50x⁹+27x⁸)}/{5x⁹+3x⁸} )
d) ( {4(25x⁹+9x⁸)}/{√{5x¹⁰+3x⁹}} )