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

1 Answer

Jul 5, 2016

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

Explanation:

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))#

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