Recent content by RaptorsFan

Homework Statement Find dy/dx and d^2y/dx^2 y = x / (x^(2)+1)Homework Equations d/dx (f/g) = (g d/dx f - f d/dx g) / g^2 The Attempt at a Solution Finding d/dx: d/dx y = (x^(2)+1) d/dx (x) - (x) d/dx (x^(2) + 1) / (x^(2)+1)^2 = (x^2 + 1) - (2x^2) / (x^(2)+1)^2 So that's my first...

Thank you for the quick response.. much appreciated.

Homework Statement f(x) = (2x-1)(3x-2)(5x+1) d/dx = ? Note that I am letting (2x-1)(3x-2) = f and 5x+1 = g Homework Equations d/dx (fg) = f d/dx g + g d/dx f The Attempt at a Solution d/dx y = (2x-1)(3x-2)d/dx(5x+1)+(5x+1)d/dx((2x-1)(3x-2)) = (2x-1)(3x-2)(5)+...

Ahh yes I understand, just working it out on paper for myself now. Thank you

Thank you. d/dx sin2x + d/dx secx = cos2x (d/dx 2x) + tanx*secx Ahh, I see my fault.. the correct solution would be: = [2(sin2x + secx) cosx - 2sin2x cos2x + (secx*tanx)] / (sin2x + secx)^2 Thank you, I always make stupid mistakes. Is this the answer you are thinking on?

Yes sir, that is correct. But I am skipping a step. d/dx (sin2x + secx) is equal to d/dx sin2x + d/dx secx I just failed to put that step in, would you agree with this?

On our given formulae sheet sec x is equal to sec x * tan x :S

Homework Statement sin2x / (sin2x + secx) d/dx = ? Homework Equations d/dx (f/g) = (g d/dx f - f d/dx g) / g^2 d/dx sec u = sec u tan u d/dx u d/dx cos u = -sin u d/dx u d/dx sin u = cos u d/dx u The Attempt at a Solution d/dx y= [(sin2x + secx) d/dx (sin2x) - sin2x d/dx...

Yep that was a careless typing error, thank you for validating.

Homework Statement (x^(3)+2x) / (x^(2)-5) d/dx = ? Homework Equations d/dx (f/g) = (g d/dx (f) - f d/dx (g)) / g^2 The Attempt at a Solution d/dx y = { (x^(2)-5) d/dx (x^(3)+2x) - (x^(3)+2x) d/dx (x^(2)-5) } / (x^(2)-5)^2 This is where it gets complicated for me. {...

After about 10 attempts later and numerous sign errors and not simplifying stuff enough i finally got an answer of -1/4.. Thanks anyway guys!

Homework Statement I'm in the early stages of Calculus I.. just doing the basics you learn in the Calc prep course. This one problem is really getting me confused. Homework Equations Lim -> 0 in the function 1/x(1/(x+2)^2 -1/4) The Attempt at a Solution I've tried foiling...