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Differentiate wrt x (3x-1)(x+5) all over 2x^2

Adrenaline123:
Differentiate wrt x
(3x-1)(x+5) all over 2x^2

let p= (3x-1)(x+5) = 3x^2 +14x-5 so that p'= 6x+14
&
q= 2x^2 ; q' = 4x

y' = dy/dx = (p'*q - p*q ' )/q ^2

thus => [ 2x^2 (6x+14) - 4x(3x^2 +14x-5)]/(2x^2)^2

y' = (12x^3 +28x^2 -12x^3 -56x^2 +20)/4x^4

y'= (-2x^2 +20)/4x^4 = (-x^2 +10)/2x^4

that's it man hope you get .?

agentofchange1:
let p= (3x-1)(x+5) = 3x^2 +14x-5 so that p'= 6x+14
&
q= 2x^2 ; q' = 4x

y' = dy/dx = (p'*q - p*q ' )/q ^2

thus => [ 2x^2 (6x+14) - 4x(3x^2 +14x-5)]/(2x^2)^2

y' = (12x^3 +28x^2 -12x^3 -56x^2 +20)/4x^4

y'= (-2x^2 +20)/4x^4 = (-x^2 +10)/2x^4

that's it man hope you get .?

yeah, Thanks man really appriciate.

agentofchange1 please can you help me out with this integration.

$(x- 1/x)^2 dx

Adrenaline123:
agentofchange1 please can you help me out with this integration.

$(x- 1/x)^2 dx

OK,
=> $(x^2 - 2 +x^-2)dx

= x^3 /3 -2x - 1/x + c

That it.

agentofchange1:
OK,
=> $(x^2 - 2 +x^-2)dx

= x^3 /3 -2x - 1/x + c

That it.

Thanks a lot

Adrenaline123:
Thanks a lot

wc man.