DeepDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.1 The Derivative of a Function, #37 · Calculus · Derivatives

The graphs show … and … for

The graphs show $Δ f$ and $Δ f / h$ for $f (x) = x^{2}$ . Why is $2 x + h$ the equation for $Δ f / h$ ? If $h$ is cut in half, draw in the new graphs.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.1 The Derivative of a Function, #37

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