MediumPartial derivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.3 Tangent Planes and Linear Approximations, #21 · Multivariable Calculus · Partial derivatives

(a) If your batting average is …, compute the increase (to …)…

(a) If your batting average is $A = (25 hits) / (100 at bats) = .250$ , compute the increase (to $26/101$ ) with a hit and the decrease (to $25/101$ ) with an out.
(b) If $A = x / y$ then $d A =$ ______ $d x +$ ______ $d y$ . A hit $(d x = d y = 1)$ gives $d A = (1 - A) / y$ . An out $(d y = 1)$ gives $d A = - A / y$ . So at $A = .250$ a hit has ______ times the effect of an out.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.3 Tangent Planes and Linear Approximations, #21

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