What rate is x^4 increasing when x=4?

  • Thread starter Thread starter adanthuis
  • Start date Start date
  • Tags Tags
    Increasing Rate
adanthuis
Messages
2
Reaction score
0
If x is positive and increasing at a rate of 2 units per second, at what rate is x^4 increasing when x=4?

I don't even know how to start.
If you can help me I would be greatful.
 
Physics news on Phys.org
If x is increasing at the rate of 2 units/second then it must be increasing wrt some variable, call it t. So you are given dx(t)/dt=2 and x(t)=4. Now take the derivative of x(t)^4 and don't forget the chain rule.
 
duh stupid me I know what to do thank you anyway
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
Back
Top