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

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Answer 1 · 2018-06-16T22:50:52

#= 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) #