Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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))#

Related questions

See all questions in Chain Rule

Impact of this question

1257 views around the world

You can reuse this answer
Creative Commons License