MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.1 An Overview, #20 · Calculus · Differentiation rules

… has slope

This problem is about the derivative $d y / d x = c b^{x}$ .

$g (x) = b^{x}$ has slope $g^{'} = c g$ . Apply the chain rule to $g (f (y)) = y$ to prove that $df / d y = 1/ cy$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.1 An Overview, #20

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