Hi there,
Your Problem:
A total revenue function is given by R(x)=1000 sq.rt x^2-0.1x
Find R'(x)
Solution:
R'(x) is the marginal revenue function (and the derivative of R(x).)
R(x) = 
When I want to take the derivative of a radical expression, I usually convert the radical to a fractional
exponent, then differentiate.
R(x) = 
Now we differentiate using the Power Rule. We will also need to use the Chain Rule to differentiate the
expression under the radical.
R'(x) = 
We can simplify this expression by multiplying (1000)(1/2) to give 500.
R'(x) = 
If you like you can rewrite the equation in radical form, but it's not necessary. Notice that the exponent
is now -1/2, so the radical expression will be in the denominator.
I hope this helps. Feel free to email if you have a question about the solution.
Mrs. Figgy
math.in.the.vortex@gmail.com
