Find the instaneous rate of change of y=2x+3 ?

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Answer 1 · 2018-06-16T22:50:52

$= 2$ $= 2$

"Instantaneous Rate of Change", for:

$y(x + Delta x) = 2 (x + Delta x) + 3$

$= 2 x + 2 Delta x + 3$

$Delta y = y(x + Delta x) - y(x)$

$= (2 x + 2 Delta x + 3) - (2x + 3)$

$= 2 Delta x$

$bb( implies Delta y = 2 Delta x, qquad (Delta y)/(Delta x) = 2)$

$lim_(Delta x to 0 )(Delta y)/(Delta x) = (dy)/(dx) bb(= 2)$