differentiate (1 Viewer)

[elliottjohnson]

hey ive just started calculus


can you please differentiate this for me, im having trouble

x + (1 over x)



thanks

 

[ArchAndy]

isnt it 1-x^-2 ?

 

[Gussy Booo]

Yes, when you encounter a fraction, you must turn it into a....how can I say, a NON FRACTION. Then you go along differentiation! Lmfao I THINK. I started Calculus too.

 

[annabackwards]

x + (x over 1) = x + x = 2x
Differentiated = 2

But if you meant (x + 1/x) = x + x^-1
Differentiated = 1-x^-2 = 1 - (1/x^2) as ArchAndy said.

 

[elliottjohnson]

right its a lot easier than I thought it was since i was doing harder ones before and thought there was a special way. any way its

1 - 1 over x^2 yer u were right .

 

[bored.of.u]

hey ive just started calculus


can you please differentiate this for me, im having trouble

x + (1 over x)



thanks

let
y = x + 1/x
y = x + x^-1
dy/dx = 1 + -1x^-2
dy/dx = 1 - 1/x^2