1. O

    Chain code and neural networks

    I'm reading Tariq Rashid's book "Make Your Own Neural Network". It is a brilliant introduction to NNs (rare to see a technical book so engaging to all ranges of abilities)...but I think there is a typo which is not in the online errata for the book. See the attached image. I don't think...
  2. E

    Chain rule

    If, f(x+2)=e^(x)*g(x^(2)+1) and g(1)=5 are given find f'(2)? Can you explain this step by step cause I have problem understanding chain rule
  3. S

    Markov chain probability

    Today I am starting to learn Markov chain and this is a question I've got. A simple message - either "yes" or "no" - is passed from one person to the next in a large group. Each person who receives the message "yes" has probability $ p $ of passing on the message "yes", and probability $ 1-p $...
  4. A

    Calculus - Chain Rule

    Let f1(x) = e^x, f2(x) = e^f1(x) and generally fn+1(x) = e^fn(x) for all n . For any fixed n, Find the the derivative of fn(x) Please help
  5. P

    How can I set this problem as a continuous Markov chain?

    I request your help in order to know, how can I configure this problem as a continuous Markov chain, need to define the main variable, the states, transition rates, and the matrix. I thought that it could be relationed with the independent status of the machines, because if the machine 1 is...
  6. M

    Chain rule

    Car A is traveling north on Highway 152 and car B is traveling west on Highway 251. Each car is approaching the intersection of these two highways. At a certain moment, car A is 0.7 km from the intersection and traveling 95 km/h while car B is 0.7 km from the intersection and traveling at 80...
  7. F

    Markov chain or another solution?

    Ok, here's the problem. I am rolling 2 fair dice repeatedly and I want to know what the chance is of rolling both a total of 5 and a total of 9 before rolling a total of 7. Let y equal the probability of a 5 or 9 or 7 being rolled. There are 4 ways each to roll a 5 and 9 and 6 ways to roll...
  8. C

    Derivatives: Chain Rule - Marginal Revenue Product

    I am having trouble with part c of this question. I have already solved A and B but if someone could help me with part c I would greatly appreciate it. A factory owner who employs m workers finds they produce q=1.2m(1.2m+46)^3/2 units of product per day The total revenue R in dollars is R=...
  9. SenatorArmstrong

    Chain rule concept question

    Hello all, I have a quick question on the chain rule for derivatives. I have used it hundreds of times through out my study of calculus, but embarrassingly I get a little confused when, for example, you're doing a related rates problem and you take the derivative of a function you developed...
  10. M

    using chain rule for finding dg(x)/dx given f(g(x)) and df(x)/dx

    I have a problem that says: f(x) and g(x) are differentiable, given that f(g(x))=x and df(x)/dx = 1+[f(x)]^2 show that dg(x)/dx= 1/(1+x^2)! Am I correct to say since f(g(x))=x, then df(x)/dg(x)=1 ? then I wrote df(x)/dx = 1+[f(x)]^2= df(x)/dg(x) * dg(x)/dx =dg(x)/dx! I don't know what...
  11. D

    divisor chain problem

    Let a divisor chain be a sequence of numbers starting with 1, where each element divides the next. A(n) represents the number of chains ending with n. Prove that the number of odd-lengthed chains O(n) and the number of even-lengthed chains D(n) are either the same or differ by 1.
  12. T

    Derivatives: Chain Rule - Marginal Revenue Product

    All answers involve a unit of dollars, so you must enter your answers accurate to two decimal places! A factory owner who employs m workers finds that they produce q = 1.8m(1.8m+18)^3/2 units of product per day. The total revenue R in dollars is R=1544q / (344448+4q)^1/2 (a)...
  13. C

    Markov Chain Discrete Dynamical System

    Hey guys, so my teacher told us to look at the book and find a very similar problem and to just do it. I don't typically ask for the answer but I just need help setting up this problem. A drug is administered @ 100 units of the drug into the blood. Every 10 minutes, 50% of the drug goes to...
  14. Z

    Chain Rule

    Solved it. The end.

    Partial derivative chain

    If z = e^(ax+by) f (ax-by) Where, f = function How would we express its partial derivative w.r.t. x?
  16. N

    Chain Rule?

    I'm trying to learn this stuff by myself. Can someone explain to me how to find the derivative of "sin(sin(sin(sin(sin(x)))))" using the Chain Rule? I'm confused by the whole concept. Thank you.
  17. M

    Multivariable Chain rule proof : is it correct?

    Hello, I've had a go at proving the chain rule for a composition that maps from R^2 to R to R. There are two images attached. I've used the "arithmetic of limits" rules throughout, that if two limits exist, their product limit and sum limit exist etc. Any thoughts / scrutiny would be...
  18. M

    Need help with chain rule

    Could someone please tell me what it is that I'm not getting.. I attached an image, I hope it loaded properly.
  19. K

    Need Help with chain rule

    So I took this off a course book I'm reading on microeconomics note: {x_1} = \phi (\bar z + {y^h} - x_2^h) I tried using the chain rule: {{dU} \over {dz}} = {{dU} \over {d{x_1}}}{{d{x_1}} \over {dz}} + {{dU} \over {d{x_2}}}{{d{x_2}} \over {dz}} where I got the same...
  20. D

    combinding chain and power rule

    Hi, I have some trouble with an expression. The expression i'm supposed to solve is find the derivative of f(x)=(x^(sin(x)))*(x2+1)^(-3x) d/dx u(x)^(v(x)) = ?? found something on an online calculator suggesting that the formula for a chain powered by a chain is: d/dx u(x)^(v(x)) =...