Find dy/ dx of the function y = x 2 using the definition of derivative.
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Derivatives as dy/dx
Add Δx. When x increases by Δx, then y increases by Δy : y + Δy = f(x + Δx)
Subtract the Two Formulas. From: y + Δy = f(x + Δx) Subtract: y = f(x) To Get: y + Δy − y = f(x + Δx) − f(x) Simplify: Δy = f(x + Δx) − f(x)
Rate of Change.
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