Hi,
I'm having problems understanding the derivation of fraction exponents like this for example:
d/dx(x^(1/2))
Obviously I have more complicated problems than this to evaluate, but a basic explanation would be helpful.
The book I'm using for some reason skips talking about this....
The example I'm looking at on my homework is this:
d/dx((4/z^(1/3))-(z^(1/4)))
4 over the 3rd root of z, minus z to the 4th root.
Thanks much,
sig
Hello, I'm back.
After looking and working on this equation,
I've come to the pre-simplified answer of:
-(4/3z^(4/3))-(1/(4z^(3/4))
And when I look the answer up on WRA, it gives the simplified answer of:
-((3z^(7/12)+16)/(12z^(4/3))
and I'm not seeing how this simplification is working.
Can anyone help explain?
Thanks..
-sig
To add fractions together we need a common denominator. The least common multiple of 3 and 4 is 12, and we can treat as a common multiple of and because . So we shall make our common denominator .
Now, how do we get this denominator in both fractions? By multiplying the numerator and denominator of the left fraction by 4 (because ) and by multiplying the numerator and denominator of the right fraction by (because, again, ).
I just finished typing this response as you posted, so I'll submit it anyway.