How do you find the derivative of y=-1/2ln(x+5/3)?

1 Answer
Jim G.
Nov 29, 2016

dy/dx=-1/(2(x+5/3))

Explanation:

The derivative of ln (f(x)) is.

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ln(f(x)))=(f'(x))/f(x))color(white)(2/2)|)))

f(x)=x+5/3rArrf'(x)=1

rArrdy/dx=-1/2xx1/(x+5/3)=-1/(2(x+5/3))

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