Question

y=2x-x^2waiting x=4What is the rate of change?
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Answer 1

Answer:

Instantaneous Rate of Change", for:

y(x)=2x+3

y(x+Δx)=2(x+Δx)+3

=2x+2Δx+3

Δy=y(x+Δx)−y(x)

=(2x+2Δx+3)−(2x+3)

=2Δx

⇒Δy=2Δx,    ΔyΔx=2

limΔx→0ΔyΔx=dydx=2