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GarryVolchara [31]
3 years ago
9

If x^2 +2xy -8 = 0, then when x = 4, dy/dx =

Mathematics
2 answers:
Tasya [4]3 years ago
6 0
The correct answer is E, hope I am right!
Katena32 [7]3 years ago
3 0
For simplicity, dy/dx means f'(x);
We have y = ( 8 - x^2 ) / 2x;
Then, y = 4/x - x/2;
So, f'(x) = (4/x - x/2)' = (4/x)' - (x/2)' = -4/(x^2) -1/2 because we use <span> d<span>ifferentiation formulas, such as : (f+g)' = f' + g'; (cf)' = cf'; x'=1; (1/x)' = -1/(x^2);
</span></span>Finally, f'(4) = -4/16 -1/2 = -4/16 - 8/16 = -12/16 = -3/4.
The correct answer is E.
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