- #1
digidako
- 6
- 0
Sorry for not showing my work on my last post, I'm on my good for nothing blackberry and apparently cannot type. My question was:
Use first principles definition to find dy/dx:
y=(-4/3x)
lim
x--> 0
---------
(X,-4/3x)
(X+h, -4/3(X+h)
=lim»0 ((-4/3(x+h))-(-4/3x))/x+h-x
I have gotten the answer 4/3x^2 through my proof, but I knew what the answer was (I looked at the back in frustration). I'm afraid I may have broken a few rules when I found a common denominator for the numerator ( (3)(x+h)(3x)) and worked it down to
=lim»0 -12x+12x+12h/[3x+3h](3x)
=lim »0 4h/3x^2h+3hx
Any help is appreciated !
Use first principles definition to find dy/dx:
y=(-4/3x)
lim
x--> 0
---------
(X,-4/3x)
(X+h, -4/3(X+h)
=lim»0 ((-4/3(x+h))-(-4/3x))/x+h-x
I have gotten the answer 4/3x^2 through my proof, but I knew what the answer was (I looked at the back in frustration). I'm afraid I may have broken a few rules when I found a common denominator for the numerator ( (3)(x+h)(3x)) and worked it down to
=lim»0 -12x+12x+12h/[3x+3h](3x)
=lim »0 4h/3x^2h+3hx
Any help is appreciated !
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