Derivative of f: Finding the Derivative of \sqrt{x}(2x-7)

  • Thread starter Thread starter Dantes
  • Start date Start date
AI Thread Summary
The discussion focuses on finding the derivative of the function f(x) = √x(2x - 7) using the product rule. The initial derivative expression provided is correct: (1/2)x^(-1/2)(2x - 7) + √x(2). Participants clarify the application of the product rule and express some confusion regarding fractional exponents and radicals. There is a suggestion to factor the term (1/2)x^(-1/2) into (2x - 7) for simplification. Overall, the conversation revolves around confirming the correct application of calculus rules and addressing misunderstandings related to derivatives.
Dantes
Messages
18
Reaction score
0
Find the derivative of f when :

\sqrt{x}(2x-7)

When put into product rule form (following (f '*g) + (f*g') )

(\frac{1}{2}x^\frac{-1}{2})\ast(2x+7) + \sqrt{x}(2)

Just started today making sure I am on the right track.
 
Last edited:
Physics news on Phys.org
i am pretty sure this is actually the answer when in product rule

(\frac{1}{2}x^\frac{-1}{2})\ast(2x+7) + \sqrt{x}(2)
 
justinbaker said:
i am pretty sure this is actually the answer when in product rule

(\frac{1}{2}x^\frac{-1}{2})\ast(2x+7) + \sqrt{x}(2)

Ahh yes...My fault doubled it twice.. thanks.
 
hmm my fundamentals are screwed up, I forgot what happens here for the most part. with the fraction exponents and the radicals.

Factor the (\frac{1}{2}x^\frac{-1}{2}) into the (2x+7) ?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top