What is the derivative of $g(x)=sqrt(5-3x)$ ?

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Answer 1 · 2016-07-05T06:12:10

$-3/(2sqrt(5-3x))$

The chain rule states:
$d/dx(g(f(x)) = g'(f(x)) * f'(x)$

In this example $g(x) = (5-3x)^(1/2)$ $-> f(x) = 5-3x$

Thus $d/dx(g(x)) = 1/2 (5-3x)^(-1/2) * -3$

$= -3/(2sqrt(5-3x))$

What is the derivative of g(x)=sqrt(5-3x)g(x)=sqrt(5-3x)?