Simple differentiation question (1 Viewer)

[ThreeOne]

How do I differentiate an equation which has a constant as the denominator of one or all of its terms?

For example:

1. h= 1 + x - x^2
.....................40

2. n= 24x^2 - x^3
.................20

Can someone just clearly clarify this for me?

 

[frogmanX]

1. h= 1 + x - x^2
.....................40

If it helps, put the demoniator as a fraction out the front of the equation. E.g.

h = 1 +x - 1 . x^2
................40
then dh/dx = 0 + 1 - 2 . x
.................................40

and then simplify the fraction.

for n= 24x^2 - x^3
...................20
use the same method but 'split' the eqation into n= 24 x^2 - 1 . x^3
..................................................................................20......... 20
so therefore dn/dx= 48x - 2 .x^2
.................................20....20

and then simplify the fractions.

hope that helps!

 

[airie]

for n= 24x^2 - x^3
...................20
use the same method but 'split' the eqation into n= 24 x^2 - 1 . x^3
..................................................................................20......... 20
so therefore dn/dx= 48x - 2 .x^2
.................................20....20

Just a small mistake: -x³/20 should be differentiated to -3x²/20

 

[frogmanX]

Ah damn, lol, that's what I get for doing Specialist maths. Thanks for that.

 

[airie]

Specialist maths? What's that? Are you from the ACT or VIC or something?

 

[Riviet]

Specialist maths sounds professional

 

[fishy89sg]

it sounds specialised