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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.3 The Slope and the Tangent Line, #21 · Calculus · Derivatives

The graph of … goes through

The graph of $f (x) = x^{3}$ goes through $(1, 1)$ .
(a) Another point is $x = c = 1 + h$ , $y = f (c) =______$ .
(b) The change in $f$ is $Δ f =______$ .
(c) The slope of the secant is $m =______$ .
(d) As $h$ goes to zero, $m$ approaches \_\_\_\_\_\_.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.3 The Slope and the Tangent Line, #21

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