derivative product rule

derivative product rule : In calculus, the product rule (also called Leibniz's law; see derivation) is a formula used to find the derivatives of products of functions. .....   More from Wikipedia

  The Product Rule for Derivatives - A few basic examples. For more free math videos, visit JustMathTutoring.com - Most of the videos are longer and more in depth as they are not subject to YouTube's 10 minute time constraint! I have organized links to over 100 FREE math videos made by me!

  Derivatives - Product + Chain Rule + Factoring - A quick example for a friend out there in internet land! For more free math videos, check out JustMathTutoring.com

Question : i need help, I don't know how to solve this problem: y = (3x-4)squared I need to find the derivative using the Product Rule. Can someone show me the work how to do it, I don't need the answer only.

Answer : Method 1 y = u v dy/dx = u dv/dx + v du/dx y = (3x - 4) (3x - 4) dy/dx = 3(3x - 4) + 3(3x - 4) dy/dx = 6(3x - 4) Method 2 y = (3x - 4) let u = 3x - 4 du/dx = 3 y = u dy/du = 2u (dy/dx) = (dy/du) (du/dx) dy/dx = (2u)(3) dy/dx = 6(3x - 4)..   More from Yahoo Answers

Question : What's the derivative of 10xy? I know you have to use product rule, however, if u separate the 10 out, you get 1+d/dx(y), but if you don't, you get 10 + d/dx(y)... Please help!!!

Answer : It shouldn't matter which way you do it. The product rule is: a*(derivative of b) + b*(deriv of a), so: 10 [(x * dy/dx) + y] = 10x(dy/dx) + 10y say you didn't separate the 10, say you kept it with the x: 10x * dy/dx + 10y, same result...   More from Yahoo Answers

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