For y=\frac{3x+5}{x-3}, find the instantaneous rate of change when x=2

Ernstfalld 2021-09-19 Answered
For y=3x+5x3, find the instantaneous rate of change when x=2
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Anonym
Answered 2021-09-20 Author has 108 answers
Step 1
y=3x+5x3
dydx=(x3)ddx(3x+5)(3x+5)ddx(x3)(x3)2
Step 2
dydx=(x3)3(3x+5)(x3)2
dydx=3x93x5(x3)2
dydx=14(x3)2
(dydx)x=2=14(23)2
(dydx)x=2=14
So instantaneous rate of change =-14
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