# Calculus

posted by Mike

Find dy/dx and express the final answer with a common denominator

y=ln x^(2(4x-12))

1. Reiny

y=ln x^(2(4x-12))
y=ln x^(8x-24)
recall rules of logs, ln a^b = (b)(lna)

y = (8x-24)ln(x)

dy/dx = (8x-24)(1/x) + 8( ln(x) )
= 8 - 24/x + 8lnx
= (8x - 24 + 8x(lnx) )/x

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