differentiate the given expression twice (you may have to use quotient rule)
then equate the result to zero and solve for x
Hey,
I need some assistance finding what's called a second derivative (I couldn't really understand the prof as he was talking about it), and then solving an equation associated with it.
Equation to solve :
Given:
Any help greatly appreciated.
Just take the derivative twice over. Like so:
First thing I'm gonna do is rewrite so I don't have to use that icky quotient rule.
Now we do it again
=
factoring out he least common factor
Set the thing to equal zero, and solve.
you can take it from here.
This is called the second derivative test. Check this out:
Concavity and the Second Derivative Test - HMC Calculus Tutorial